Analytical Scheme Research Articles

Multi-criticality and related bifurcation in accretion discs around non-rotating black holes: an analytical study

Low angular momentum, general relativistic, axially symmetric accretion of hydrodynamic fluid onto Schwarzschild black holes may undergo more than one critical transition. To obtain the stationary integral solutions corresponding to such multi-critical accretion flow, one needs to employ numerical solutions of the corresponding fluid dynamics equations. In the present work, we develop a completely analytical solution scheme which may be used to find several trans-critical flow behaviours of aforementioned accretion, without explicitly solving the flow equations numerically. We study all possible geometric configurations of the flow profile, governed by all possible thermodynamic equations of state. We use Sturm’s chain algorithm to find out how many physically acceptable critical points the accretion flow can have, and discuss the transition from the mono to the multi-critical flow profile, and related bifurcation phenomena. We thus illustrate, completely analytically, the application of certain aspects of the dynamical systems theory in the field of large-scale astrophysical flow under the influence of strong gravity. Our work may possibly be generalized to calculate the maximal number of equilibrium points certain autonomous dynamical systems can have in general.

Management of the longwall face advance on the stress-strain state of rock mass

Purpose is to study influence of a longwall face advance on the geomechanical situation in the neighbourhood of a mining site based upon determination of changes in standard and critical subsidence of the immediate roof rocks. Methods. To study a geomechanical situation in the neighbourhood of a mining site the authors have applied software product GeoDenamics Lite developed at Dnipro University of Technology. The software product relies upon a calculation procedure of stress-strain state of rocks by Professor O.V. Savostianov. Expediency of the software selection is based upon the supported control and adaptation of a coal mining technique to changes in geodynamic stress fields in the anisotropic rock-coal medium impacting temporal and spatial changes in the technological parameters. Findings. The basic problems have been singled out connected with certain changes in a longwall face advance. For the first time, an analytical scheme of tangential stresses within the immediate roof rocks has been developed for Lisova mine of SE Lvivvuhillia under the conditions of coal seam mining by means of the paired longwalls which makes it possible to determine both physical and geometrical parameters of standard loads within the formation. Originality. Dependencies of temporal and spatial changes in subsidences and horizontal displacements of rock layers of the immediate roof have been defined being 5.2 m for the upper rock pack and 3.9 m for the lower pack if the longwall longwall face advance is 1.9 up to 4.8 m/day. Both physical and geometrical parameters of the reference pressure have been defined as well as the parameters of lower sandstone pack in the process of the main roof subsidence. Impact of the extra pressure forces on the immediate roof rocks has been analyzed at the moment of critical lowerings of the immediate roof rocks. In this context, standard loading from the overlying formation in addition to tangential stresses in the roof result in rock failure due to vertical cracks above a longwall face. Practical implications. The engineering methods have been developed making it possible to identify impact parameters of a longwall face advance on the geomechanical situation in the neighbourhood of a mining site. In future, it will help forecast changes in the reference pressure around a longwall face while preventing emergency settlement of the powered support.

Analytical Scheme of Stability Analysis for 4-DoF Mechanical System Subjected to Friction-Induced Vibrations

Purpose:The stability problem for non-conservative multi-parameter dynamical system is usually associated with labor-intensive calculations, and numerical methods do not always allow one to obtain the desired information. The presence of circulatory forces often leads to the so-called ”destabilization effect” of the system under the influence of small dissipative forces. In this regard, it seems important to develop analytical approaches that make it possible to use a simplified scheme for checking the stability conditions.Methods:When obtaining and analyzing stability conditions, the algebra of polynomials and elements of mathematical analysis are applied. To obtain a simplified scheme for checking the stability conditions, an asymptotic method is used.Results and Conclusion:A mechanical system with four degrees of freedom which is under the action of dissipative, potential and non-conservative potential (circulatory) forces is considered. The stability problem of friction-induced vibrations is studying. In the case of weak damping an analytical approach is proposed that makes it possible to simplify the analysis of stability conditions, which, due to the presence of many uncertain parameters, are very cumbersome. With the help of numerical testing, the adequacy of the results obtained for the reduced conditions and full stability conditions was established. The results of the analysis make it possible to single out the ”advantageous” regions in the space of dimensionless parameters, which makes it possible to improve the design of the system to increase its reliability.

UKRAINIAN VOLUNTEER MOVEMENT UNDER CONDITIONS OF ARMED RUSSIAN AGGRESSION: OPPORTUNITIES, NATIONAL AND GLOBAL CHALLENGES FOR UKRAINE’S POST-WAR RECOVERY

The authors reveal a vision of the development of the Ukrainian volunteer movement under conditions of armed Russian aggression. The research focus is on identifying the main trends of institutionalization and the dynamics of the development of Ukrainian volunteerism based on the use of modern digital, network, information and communication technologies. Two «waves» of activation of the Ukrainian volunteer movement related to the active phase of the armed conflict in Donbas (2014-2016) and the full-scale invasion that began on February 24, 2022 are analyzed. Two areas for providing volunteer aid to key target groups have been identified and substantiated, namely the Ukrainian military and the Armed Forces of Ukraine strengthen the country’s defense capabilities, and citizens affected by the armed aggression. Such a structure is used as an end-to-end analytical scheme in the study of various aspects of Ukrainian volunteering under conditions of both surges in the armed conflict (2014-2016 and 2022). The authors determine the specifics of the processes of institutionalization and platformization of Ukrainian volunteering, as well as the main integrated digital platforms of international volunteering to help Ukraine. New global and local challenges, problems and opportunities for the development of the Ukrainian volunteer movement to preserve the country’s human potential and strengthen the national, economic, social, and food security of the state are also revealed. The role, significance, opportunities, main tools and functionality of using the potential of information, communication, digital, network technologies in volunteering are shown. It is substantiated that the powerful potential of Ukrainian volunteerism, together with international volunteerism and charity aimed at helping Ukraine, is the basis for the country’s post-war recovery. It also contributes to the formation and strengthening of the culture of peace and security at the interstate level, stimulates the formation of a renewed system of European collective security and international cooperation.

Inventing Codes for Channels With Active Feedback via Deep Learning

Designing reliable codes for channels with feedback, which has significant theoretical and practical importance, is one of the long-standing open problems in coding theory. While there are numerous prior works on analytical codes for channels with feedback, the majority of them focus on channels with noiseless output feedback, where the optimal coding scheme is still unknown. For channels with noisy feedback, deriving analytical codes becomes even more challenging, and much less is known. Recently, it has been shown that deep learning can, in part, address these challenges and lead to the discovery of new codes for channels with noisy output feedback. Despite the success, there are three important open problems: (a) deep learning-based codes mainly focus on the passive feedback setup, which is shown to be worse than the active feedback setup; (b) deep learning-based codes are hard to interpret or analyze; and (c) they have not been successfully demonstrated in the over-the-air channels with feedback. We address these three challenges. First, we present a learning-based framework for designing codes for channels with active feedback. Second, we analyze the latent features of the learned codes to devise an analytical coding scheme. We show that the approximated analytical code is a non-trivial variation of the state-of-the-art codes, demonstrating that deep learning is a powerful tool for deriving a new analytical communication scheme for challenging communication scenarios. Finally, we demonstrate the over-the-air performance of our neural codes by building a wireless testbed that consists of two separate N200 USRPs operating as the transmitter and the receiver. To the best of our knowledge, this is the first over-the-air hardware implementation of neural codes for interactive channels.

In-process nip point temperature estimation in automated tape placement based on analytical solution and remote thermal measurements

The optimisation and control of automated tape placement (ATP) requires fast analysis tools able to utilise process data for predictions and monitoring. In this study, a strategy for in-process estimation of nip point temperatures is proposed. The method is based on a combination of two one-dimensional analytical solutions of heat transfer in ATP using temperature data measured on the tool surface, combined with an inverse solution for the estimation of power delivered by the heating device on the composite surface. The performance of the method is examined against a validated finite element model. Approximations of nip point temperature show good correlation for different tool materials, with an average error of 15°C and a maximum of 50°C which is satisfactory for the processing of high-temperature thermoplastic materials. The analytical scheme offers real-time estimations of the nip point temperature with the potential to be used for process control of ATP.

High-resolution quadrupole time-of-flight mass spectrometry, a powerful technique to include in analytical scheme for the identification of drugs and chemicals in seizures: A case study

A seizure containing 37 items was analyzed with laboratory identification scheme for drugs and chemicals in seized products applying accredited methods based on gas chromatography mass spectrometry (GC-MS) and liquid chromatography with photodiode-array detection (UPLC-PDA), a category A technique combined with category B and C techniques. No identification was obtained for 1 item [analogue of lysergic acid diethylamide (LSD)] and none detected or identified by GC-MS and/or UPLC-PDA for 8 items. All items were subsequently analyzed using ultra performance liquid chromatography quadrupole time-of-flight mass spectrometry (UPLC-Q-Tof) to investigate whether it is appropriate to include this technique in laboratory identification scheme for seized materials. The seizure consisted of individual packages containing blotter papers, capsules and powders, respectively. The powders were present in sealed alu-bags labeled ‘not for human consumption’ and Falcon® tubes, presumably purchased as ‘research chemical’. Methanolic solutions were analyzed. The GC-MS method was described elsewere (Coopman V. Toxicol Anal Clin 2018;30:75–79). Automated library search was performed against NIST, SWGDRUG and CAYMAN mass spectral library and mass spectra published in scientific literature were consulted. The UPLC-PDA analysis was performed with a Waters Acquity UPLC H-Class system. The compounds were separeted on an Acquity UPLC C18 column using gradient elution with a mobile phase consisting of 0.1% (v/v) formic acid aqueous solution and 0.1% (v/v) formic acid in acetonitrile, and photodiode-arra y detection. Automated library search was performed with Empower™ 3 software against in-house and Waters library. A Waters Acquity UPLC I-Class with Xevo G2-XS QTof was used, equipped with UNIFI® scientific information system and Forensic Toxicology Screening Application from Waters with data acquisition parameters for accurate mass analysis in positive and negative mode. Analogues of LSD (1P-LSD, ETH-LAD, AL-LAD) and a designer benzodiazepine (clonazolam) respectively, were identified in blotter paper by UPLC-PDA, GC-MS and confirmed by UPLC-Q-Tof. The unknown analogue of LSD was identified as ALD-52 by UPLC-Q-Tof. 4-fluoromethylphenidate (4F-MPH), N-ethyldeschloroketamine (O-PCE) and mirtagynine were identified in powder by UPLC-PDA, GC-MS and UPLC-Q-Tof. O-PCE was not present in the Forensic Toxicology Screening Application library and was therefore not automatically identified. Salicylic acid, caffeine, trazodone, pseudoephedrine, melatonin and ETH-LAD respectively, were identified in tablet or capsule with routine laboratory identification scheme and confirmed by UPLC-Q-Tof. In a capsule found to contain pseudoephedrine and unknown, a library hit was found for the designer drug N-methyl-2-aminoindane (NM-2AI) by UPLC-Q-Tof. Laboratory identification scheme for the identification of drugs and chemicals in seizures is based on GC-MS and UPLC-PDA, a category A technique and category B, C techniques (SWGDRUG recommendations). Not all drugs and chemicals were detected with both techniques. When identification is obtained with one or any of the applied techniques, a more extensive analysis is recommended. UPLC-Q-Tof is a sensitive and powerful technique, appropriate to include in laboratory identification scheme for seized materials when identification is obtained with one or any of the applied techniques or if the presence of low concentration, a NPS or designer drugs is suspected, allowing confirmation or identification.

Green homogeneous liquid-liquid microextraction at high salinity conditions for the determination of nimesulide in human urine with the aid of experimental design

Green homogeneous liquid-liquid microextraction (HLLME) under high salinity conditions was proposed for the determination of nimesulide in human urine. The proposed analytical scheme consisted of the mixing of the appropriate volume of acetonitrile and sample followed by the addition of Na2SO4 solution to obtain phase separation. Following the extraction of the drug from the urine samples, high-performance chromatography-diode array detection (HPLC-PDA) was used for its determination. The main factors influencing the performance of the HLLME method were studied and optimized using a two-step experimental design (Plackett-Burman, Central Composite Design). The HLLME-HPLC-PDA method was systematically validated using the accuracy profiles. The detection limit was adequate and estimated to be 0.03 μg mL−1. The mean analytical bias (expressed as relative error) ranged between ─ 2.9–3.6% and the relative standard deviation (RSD) was better than 3.7%. Moreover, the β-expectation tolerance intervals were in the range of ±15% demonstrating that 95% of the results will fall within the defined bias limits. The ruggedness of the herein developed protocol was assessed using Monte-Carlo simulations followed by capability analysis. The proposed scheme was applied for the determination of the drug in real urine samples following the administration of pharmaceutical formulations that contained nimesulide.

Effect of COVID-19 pandemic on the food supply chain

This study’s objective was to analyze institutions’ role in positioning Brazil to reduce uncertainties in food supplies related to COVID-19. We intend to demonstrate that food security must be integrated with food safety. This research is an exploratory study of COVID-19’s effects on food systems using qualitative data. This study demonstrates that public and private policies carried out at the international level are needed to avoid new health crises originated by zoonoses. The integration of public and private policies requires the following strategies: building strong institutions, strengthening the agricultural research and innovation system, public policies for sustainable agriculture, strict sanitary control laws, enhancing cold chains of animal protein production, and encouraging the vertical integration model in animal protein chains. This analytical scheme can be applied in the context of agro-industrial systems from an institutional perspective, allowing research into the effect of crises on agri-food supply chains, as in the case of the COVID-19 pandemic, as well as contributing to its prevention. It was found that demands to prevent new pandemics are: an outgrowth of the effective adoption of standard sanitary controls; coordination of agri-food systems; and public policies.

Assessment of thermal distribution through an inclined radiative-convective porous fin of concave profile using generalized residual power series method (GRPSM)

The thermal distribution in a convective-radiative concave porous fin appended to an inclined surface has been examined in this research. The equation governing the temperature and heat variation in fin with internal heat generation is transformed using non-dimensional variables, and the resulting partial differential equation (PDE) is tackled using an analytical scheme, generalized residual power series method (GRPSM). Moreover, a graphical discussion is provided to examine the consequence of diverse non-dimensional variables including the parameters of convection-conduction, ambient temperature, radiation, heat generation, and porosity effect on the thermal field of the fin. Also, a graph is plotted to analyze the variations in unsteady temperature gradient using the finite difference method (FDM) and generalized residual power series method (GRPSM). The major result of this investigation unveils that as the convection-conduction parameter scale upsurges, the distribution of temperature in the fin diminishes. For the heat-generating parameter, the thermal distribution inside the fin increases.

A Community Impact Scale for Regional Disaster Planning with Transportation Disruption

This paper proposes a simple analytical scheme and associated qualitative impact scales that capture the spatially varying effects of a regional disaster. Large-scale disasters that affect many towns and cities pose particular challenges for emergency response planning. For example, disruption to transportation systems can impede regional supply chains of critical goods, thereby exacerbating the impacts suffered locally in communities. Conventional metrics of disaster severity, such as number of casualties or intensity of ground shaking, do not adequately capture how community impacts and needs may vary across the affected region, and they do not typically consider regional transportation disruption. Using a series of impact scales, the approach in this paper captures essential attributes of three broad components related to community impacts from a regional disaster—local disaster impacts in a community, regional transportation disruption to the community, and the community’s coping capacity—and aggregates them to an overall metric of community impact. The approach can be implemented with widely varying degrees of data availability, as demonstrated in two case applications. Both cases involve an M9 Cascadia subduction zone earthquake affecting a broad region of coastal British Columbia, Canada. The first application illustrates how in a pre-event planning situation, modeled results can be used to anticipate which communities are at greatest risk, and to help prioritize mitigation and emergency response planning. The second case demonstrates how in the immediate aftermath of a disaster, the approach can be used with limited information to help prioritize response and recovery activities.

Homotopy Analysis Method Analytical Scheme for Developing a Solution to Partial Differential Equations in Fuzzy Environment

Partial differential equations are known to be increasingly important in today’s research, and their solutions are paramount for tackling numerous real-life applications. This article extended the analytical scheme of the homotopy analysis method (HAM) to develop an approximate analytical solution for Fuzzy Partial Differential Equations (FPDEs). The scheme used its powerful tools, the auxiliary function and convergence-control parameter, in the analysis and optimization, which ensures the convergence of the approximate series solution in addition to considering all necessary concepts from fuzzy set theory to provide high precision in the fuzzy environment. Furthermore, the efficiency was shown by applying the proposed scheme to linear and nonlinear cases of Fuzzy Reaction–Diffusion Equation (FRDE) and Fuzzy Wave Equation (FWE).

Thermal aspects of magnetically driven micro-rotational nanofluid configured by exponential radiating surface

Heat transferring liquids having poor thermophysical attributes, for illustration, glycols, water-based liquids and oils cannot be enlarged to a optimal extent to accomplish the subsisting necessities of certain heat transferals (e.g., thermal solar collectors). To attain such aims, nanoparticles based disseminated liquids could be utilized as working liquids rather than standard liquids to strengthen solar energy recognition. Undoubtedly, solar energy is atmospherically approachable renewable energy fount. Therefore an analysis featuring thermal radiation based solar energy impact in magnetically driven nanoliquid dissipative flow induced by moving exponential surface is reported. Modeling is presented for non-Newtonian micropolar liquid subjected to Joule heating, Brownian diffusion, chemical reaction and thermophoresis. Theory of boundary-layer assisted in simplifying the complex rheological expressions (partial differential equations) which are further reduced to the ordinary ones utilizing relevant transformations. The well-known analytical scheme (homotopy analysis method) is opted to compute convergent solutions. The consequence of non-dimensional variables is interpreted via pictorial depictions.

Monitoring Socio-Economic Trends: Tools and Limitations

The transformation of the world order, the change in the geopolitical and geo-economic picture of the world, the new vectors of the socio-economic policy of the Russian Federation imply the actualization of research strategies in the field of socio-economic sciences and the achievement of the maximum level of their relevance to the challenges of the current stage. To achieve the sovereignization of the domestic sector of socio-economic research, it is important to formulate a new conceptual apparatus of the current socio-economic policy, as well as to develop instrumental and methodological support for the trend tracking process.The analysis of professional and open trendwatching algorithms used in this study gives grounds to note that the only area in which the trend monitoring process relies on developed methodology and tools is the creative industries. To adapt these algorithms to the tasks of monitoring socio-economic policy, the development of the TrendWatching agency, which has patented the Purpose-Driven Innovation methodology, which is an analytical scheme that turns multidirectional trends into significant trends, is especially promising.

Stability Analysis and Computational Interpretation of an Effective Semi Analytical Scheme for Fractional Order Non-Linear Partial Differential Equations

In this study we will check the stability of the semi analytical technique, the Laplace variational iteration (LVI) scheme, which is the combination of a variational iteration technique and the Laplace transform method. Then, we will apply it to solve some non-linear fractional order partial differential equations. Since the Laplace transform cannot be applied to non-linear problems, the combination of the variational iteration technique with it will give a better and rapidly convergent sequence. Exact solutions may also exist, but we will show that the coupled technique is much better to approximate the exact solutions. The Caputo–Fabrizio fractional derivative will be used throughout the study. In addition, some possible implications of the results given here are connected with fixed point theory.

Feasibility for SERS-based discrimination of gallbladder cancer from polyp by indirect recognition of components in bile

The aqueous solution extracted from raw bile juice is composed primarily of bile salts, with lower levels of bilirubin and its derivatives. Among them, the bilirubin and bilirubin-derived metabolites are the only surface-enhanced Raman scattering (SERS)-active components. An analytical scheme indirectly responsive and able to utilize all bile components, including SERS-inactive bile salts, was explored for SERS-based discrimination of gallbladder (GB) polyp and GB cancer. Initially, the surface of a SERS substrate (Au nanodendrite on Ni foil (AuND@NiF)) was covered with an alkanethiol molecule to generate a SERS signal and attract bile components by mutual interaction. For more effective recognition of bile components, 4 independent substrates covered with 4 different alkanethiols with various functional groups (SH(CH2)2CH3, SH(CH2)2NH2, SH(CH2)2COOH, and SH(CH2)2OH) were prepared. The SERS peaks of each substrate clearly varied on interaction with pure bile components as well as aqueous bile samples, and the SERS peaks in each substrate were individually characteristic. When the principal component (PC) scores of spectra obtained using the SH(CH2)2CH3- and SH(CH2)2OH-covered substrates were combined, the k-Nearest Neighbor-based discrimination accuracy was 100%, superior to those (90.6–96.9%) using individual substrates. The use of complementary bile component-induced spectral information provided by the two substrates was responsible for accurate discrimination. On the other hand, when bare AuND@NiF recognizing only SERS-active bilirubin derivatives was used, discrimination was unsatisfactory (accuracy: 75.0%).

Robust Adaptive Control Based on Variable Boundary for a Twin-Motor Cable-Driven System

Cable-driven parallel mechanism has been widely studied due to its advantages of fast response and large workspace. The structural uncertainties in the system often introduce internal disturbance and unavoidably influence its motion precision. Generally, to reduce the influence, robust control is adopted and the boundary of the disturbance is regarded as a fixed value given by rough estimation. This method often causes large vibration of the motion component, which certainly compromises the dynamic performance of the system. Therefore, to solve this problem, a variable boundary analytical scheme based on the decoupling of control law and internal disturbance is proposed in this article. Specifically, sufficient condition for the solvability of disturbance boundary is proved by the boundedness of the structural matrix error. Then, the disturbance boundary is modeled analytically, so that its particular value can be determined with respect to the system status. Following that, a robust adaptive control algorithm based on the variable boundary of disturbance is developed. It is verified that the tracking error is globally uniformly bounded. The experimental results show that the proposed control method can effectively reduce the tracking errors and attenuate the tension chattering compared with the conventional robust adaptive control scheme with a roughly estimated boundary.

Kutub Al-Lughah Al-Arabiyyah Al-Muqarrarah Li Thalabah Al-Madrasah Al-Mutawassithah Al-Islamiyyah: Dirasah Tanqihiyah Min Haitsu Al-Mawad Wa At-Taqdim

This research addresses the existing problems around the materials of the Arabic language textbooks entitled "Bahasa Arab" issued by the Ministry of Religious Affairs and their relationship to the context of teaching and learning Arabic as a foreign language for students in Indonesia. While the focus of this research is on the texts of textbooks for seventh, eighth and ninth grade students in the Junior Islamic high school on the 2013 curriculum, then the type of this research belongs to the category of library researches. As for the data analysis technique, the researcher followed the content analysis technique, and because the data produced by this research are qualitative data, this research was classified in an analytical and descriptive scheme. After completing the process of identifying and analyzing the data, the result showed that the textbooks for students in the Junior Islamic high school met “very good” from some of the established criteria, including: 1) the suitability of the subjects; 2) material presentation techniques; 3) language, clarity and graphics; 4) assignments, practice questions; 5) The possibility of accessing these textbooks.

Homotopic framework for the Buongiorno model of 2D viscoelastic nanofluid flow toward a porous curve surface with ohmic heating and Brownian diffusion effects

The present investigation explores the impacts of heat transfer in a two-dimensional flow of a viscoelastic nanofluidic flow over a penetrable channel. The consequences of internal heat generation/absorption, viscous dissipation, thermal diffusivity, and joule heating accompanied by variable properties of the nanoliquid are considered in the model flow laws. With the aid of suitable transformation inequalities, the boundary layer partial differential (PDEs) reduces to governing coupled nonlinear ordinary differential equations convenient for computation. Using MATHEMATICA syntax, a programming algorithm, the analytical homotopic scheme is imposed explicitly for attaining the dimensionless solutions of fundamental equations. The attained numerical outcomes are analyzed for diversified parameters on different flow fields. The convergence and stability criterion is established for the precision of the governing parameters. The present work has dynamic prominence in medicine and engineering, which develops interest among young researchers. In addition, the impression of system parameters on drag force, heat, and mass flow coefficient with 3D graphs is also debated. The comparison is done and acquired results show that they are in remarkable agreement with the numerical method.

Analysis of the partially ionized kerosene oil-based ternary nanofluid flow over a convectively heated rotating surface

Abstract The main goal of this inspection is to explore the heat and mass transport phenomena of a three-dimensional magnetohydrodynamic (MHD) flow of ternary hybrid nanoliquid through a porous media toward a stretching surface. Nowadays, the low thermal conductivity is the key problem for scientist and researchers in the transmission of heat processes. Therefore, in order to improve the thermal conductivity of different base liquids, the scientist and researchers are mixing numerous types of solid particles in the base fluids. That is why the authors have mixed three different types of nanoparticles such as graphene oxide, silver, and copper in a kerosene oil base liquid. The influences of Hall current and ion-slip are also considered. Furthermore, the flow behavior is analyzed under the appliance of Darcy–Forchheimer, activation energy, and chemical reaction. By using the concept of boundary layer theory, the flow equations are modeled in the form of higher order nonlinear partial differential equations (PDEs) along with convective boundary conditions. Suitable similarity transformations are used for the transformation of higher order PDEs into the higher order nonlinear ordinary differential equations (ODEs). Analytical scheme known as the homotopic scheme is utilized for the simulation of the current problem. The impacts of discrete flow parameters on the velocities, temperature, and concentration profiles of the ternary hybrid nanoliquid are inspected. The skin friction coefficients, Nusselt number, and Sherwood number of the ternary hybrid nanofluid are investigated against various flow parameters. The outcomes of the current analysis showed that primary velocity of the ternary hybrid nanoliquid is augmented via Hall current and ion-slip number, while the reverse trend is observed via porosity parameter, Darcy–Forchheimer parameter, and magnetic field parameter. On the other hand, the higher values of Hall current and magnetic parameter enhanced the secondary velocity of the ternary hybrid nanoliquid, while the secondary velocity was reduced due to the increasing ion-slip number and rotation parameter. It is found that the heat transfer rate of the ternary hybrid nanofluid is 46% greater than the silver nanofluid.