Exponential Heat Research Articles

Bioconvection across a revolving sphere under the influence of bilateral chemical reactions with temperature- and space- dependent heat generation

This paper discusses the time-dependent mixed convection flow of nanofluids (Al2O3-water) due to a stagnation-point over a rotating sphere in the presence of motile microorganisms. The suspension is considered to be electro-conducting and Joule heating impacts are not neglected. Exponential behaviors are considered for the included heat generation and chemical reaction influences. Besides, the non-linear radiation flux takes place in the flow area. Computational analyses are introduced for the problem formulations after converting them to similar forms. From the major results, the exponential heat generation enhances the temperature distributions while the exponential behaviors of the chemical reaction have negative influences on the nanoparticle concentration. Also, the skin friction coefficients in x− and z−directions get higher values when the rotational and the mixed convection parameters are rising. Further, the thermal scenario diminishes with increasing nanoparticle diameter, however the thermal radiation factor and the ratio between the liquid and the nanolayer conductivity significantly enhance the thermal characteristics of the water-based Al2O3 nanofluid. The findings offer practical information that might be applied to improve system performance in a number of fields, which could involve fluid mechanics, pharmaceutical technology, and thermal management, among others.

Computational analysis of heat transport dynamics in viscous dissipative blood flow within a cylindrical shape artery through influence of autocatalysis and magnetic field orentation

Nanofluids consisting of tetra nanoparticles are crucial in bio medical sciences due to their improved thermal transport characteristics. The advanced tailored properties of tera nanoparticles make them useful in several medical interventions, such as hyperthermia treatment, where the targeted tissue can be heated more efficiently, leading to better treatment outcomes. The current study investigates the heat transfer enhancement in a hemodynamic system using tetra nanoparticles. The physical configuration of the blood flow is assumed with in a permeable cylindrical shape stenosed artery. The model incorporates the Carreau model with inclusion of diverse factors such as, exponential space-based heat source, viscous dissipation, infinite shear rate and permeability of surface. Additionally, impact of chemical reaction (autocatalysis) and magnetohydrodynamic (MHD) consequences is also integrated into the system. The framed partial differential equations (PDEs) generated by physical problem are converted into new dimensionless form of an ordinary differential system (ODEs). Bvp4c MATLAB procedure is fetched for numerical investigation. It is observed that, velocity profile of the fluid is reduced due to intensification in inclined magnetic effect, whereas autocatalysis effect promotes the concentration of nanoparticles in blood flow mixture, which increases the temperature field of fluid. Furthermore, augmentation in the values of Wassenberg number increased the elasticity in blood which enables it to deform and stretch more readily in reaction to alterations in flow conditions and hence reduction is seen in overall blood flow rate. The results revealed the significance of these integrated factors for accurate modelling of blood flow passing through a stenosed artery, which is crucial in medical interventions.

Repercussion of quadratic density variation on nonlinear mixed convective Darcy–Forchhimer Al2O3, Cu\\EG flow over an inclined plate with exponential heat source and Arrhenius equation

Generating and controlling energy at high temperatures is extremely challenging in solar energy applications with hybrid nanofluids (HNFs). This challenge is tackled with nonlinear changes in density with temperature and concentration. Hence, a nonlinear Boussinesq approximation is taken on Darcy – Forchhimer hybrid flow containing aluminium oxide ( A l 2 O 3 ) and copper ( Cu ) nanoparticles with base fluid Ethylene Glycol (EG) over an inclined plate at an angle of ξ = π 6 . The physical model is supported by a space-based exponential heat source (EHS) along with a temperature-based heat source (THS) in the energy equation and Arrhenius equation in diffusion relation with suction and blowing on the wall. The regulating equations are transformed into standard differential equations using the similarity conversions, and these equations are subsequently solved in MAPLE 2022. The thermal field is affected positively by EHS and THS parameters, which fulfil the purpose of including these parameters in the flow model. The rate of heat transport increment for Q E parameter by 1.04% for HNF whereas 1.06% for NF when Su > 0 . Also, Su < 0 heat transfer rate increases by 3.68% for HNF whereas 3.75% for NF. As A l 2 O 3 , Cu ∖EG HNF move from suction to injection, the Nusselt number reduces by more than 50%.

Investigating thermal conduction dynamics in ternary Carreau–Yasuda nanofluids under convective boundary conditions and exponential heat source/sink effects

The analysis of the Carreau–Yasuda nanofluid (CYNF) across a stretching surface has practical applications in several fields, such as heat exchange, engineering, and material science. Scholars may discover novel perspectives for increasing heat transfer performance, establishing advanced materials, and enhancing the efficiency of multiple engineering systems by studying the behavior of CYNF in this particular instance. The energy transfer through trihybrid CYNF flow with the effect of magnetic dipole across a stretching sheet is examined in the present study. The ternary hybrid nanofluid (THNF) has been prepared by the addition of ternary nanoparticles (NPs) in the water (50%) and ethylene glycol (50%). Titanium dioxide (TiO2), silicon dioxide (SiO2), and aluminum oxide (Al2O3) are used in base fluid. The fluid velocity and heat transfer are examined under the impact of Darcy–Forchheimer, chemical reaction, convective condition, activation energy, and exponential heat source. The fluid flow has been stated in form of velocity, energy, and concentration equations. The set of modeled equations is simplified to non-dimensional form of ordinary differential equations (ODEs) by using similarity substitutions. Numerically, the system of lowest order ODEs is calculated through the parametric continuation method. It has been noticed that the temperature field augments against the variation of viscous dissipation and heat source term. Furthermore, the magnetic dipole has significant impact to enhance the thermal curve of THNF whereas falloffs the velocity profile. It can be noticed that the energy propagation rate enhances with the rising numbers of ternary NPs, from 1.22% to 5.98% (nanofluid), 2.30% to 9.61% (hybrid nanofluid), and 3.23% to 11.12% (trihybrid nanofluid).

Significance of spatial variability in heat generation on nonlinear mixed convective Jeffrey nanofluid flows nearby an impermeable plate

The dynamics of Jeffrey nanofluids over an elongated surface heated by convection are addressed adequately under the nonlinear Boussinesq’s sense. Novel attributes of exponential heat source and thermal radiation are included. Buongiorno’s revised nanoliquid model is implemented to study the uneven dispersion and thermophoresis of nanoparticles subjected to passive control of nanoparticles on the surface. Wall suction or injection effects are also considered. Mathematical modeling is developed and treated numerically using the similarity approach. The results are presented considering numerous values of the physical parameters. Stimulus variables that regulate the resulting dimensionless physical quantities are examined graphically. Nonlinear convection has occurred to reinforce the nanofluid motion and reduce the thermal boundary layer thickness. The results of this study are useful in polymer industries.

Mathematical and artificial neural network modeling to predict the heat transfer of mixed convective electroosmotic nanofluid flow with Helmholtz-Smoluchowski velocity and multiple slip effects: An application of soft computing

The growing popularity of artificial neural networks (ANNs) is due to their exceptional capability in handling complex and highly nonlinear mathematical problems. ANNs provide a flexible computational framework that is extremely useful in complex fields such as biological computation, fluid dynamics, and biotechnology. Consequently, this study utilizes machine learning techniques to examine the heat transfer in mixed convective Electroosmotic Nanofluid flow, considering Helmholtz-Smoluchowski velocity and multiple slip effects on an exponentially stretching surface. Different influential factors, including, thermal radiation, viscous dissipation, joule heating, linear thermal heat source/sink and exponential thermal heat source/sink are considered in this investigation. In the current study, graphene oxide and magnesium oxide are used as nanomaterials, with ethylene glycol serving as the base fluid. The bvp4c solver in Matlab is employed to solve nonlinear versions of established mathematical problems, including those related to the skin friction coefficient, heat transfer rates, velocity, and temperature. The artificial neural network model is structured to handle several tasks: data selection, network construction, network training, and evaluating performance employing the mean square error metric. The significance of parameter on subjective profiles is demonstrated though tables and graphical representation. The Numerical results and artificial neural network results have been compared. The results showed that there is excellent validation between numerical results and artificial neural network results.

Numerical exploration of the entropy generation in tri-hybrid nanofluid flow across a curved stretching surface subject to exponential heat source/sink

Numerical exploration of the entropy generation in tri-hybrid nanofluid flow across a curved stretching surface subject to exponential heat source/sink

Thermal examination of chemically reactive Casson ternary hybrid nanofluid flow on bi-directional stretching sheet subject to Cattaneo–Christov mass/heat flux phenomena, variable porosity and exponential heat source

Thermal examination of chemically reactive Casson ternary hybrid nanofluid flow on bi-directional stretching sheet subject to Cattaneo–Christov mass/heat flux phenomena, variable porosity and exponential heat source

Development of ternary hybrid nanofluid for a viscous Casson fluid flow through an inclined micro-porous channel with Rosseland nonlinear thermal radiation

ABSTRACT The current problem is concerned with the investigation of Casson ternary hybrid nanofluid flow through microchannel. Nanofluids containing three distinct kinds of nanoparticles have a lot of industrial and engineering applications as a result of their amazing thermal properties. The nanoparticles (alumina A l 2 O 3 , titanium oxide Ti O 2 , and copper oxide CuO ) are immersed in base fluid (ethylene glycol C 2 H 6 O 2 ) resulting in ternary hybrid nanofluid ( A l 2 O 3 + Ti O 2 + CuO / C 2 H 6 O 2 ). For the problem under consideration, the momentum distribution, temperature distribution, entropy generation, and Bejan number have been examined. With the aid of tables and graphs, comparisons of ternary hybrid, binary hybrid, and mono nanofluids have also been investigated. With nondimensional variables, the governing equations are transformed into a dimensionless form and solved using the Chebyshev Collocation Method (CCM). Analysis shows that the increment in Reynolds number, Brinkmann number, and exponential heat source parameter results in an enhancement in the dimensionless temperature and the variational improvement of the thermal radiation parameter reduces the thermal distribution. Hence, the findings show that ternary hybrid nanofluids perform better in terms of thermal conductivity performance than either binary hybrid or mono nanofluids.

Exploration of linear and exponential heat source/sink with the significance of thermophoretic particle deposition on ZnO-SAE50 nano lubricant flow past a curved surface

The present research focuses on exploring the impact of linear and exponential heat source/sink on double-diffusive MHD convective flow heat and mass transport of ZnO – SAE50 nano lubricants in an exponentially stretching curved sheet along with the effect of thermophoretic particle deposition. The heat transmission is considered to be caused by both radiation and convection. The mathematical modelling of the considered problem results in a coupled system of partial differential equations, using suitable similarity transformation variables these equations are reduced to a coupled non-linear system of ordinary differential equations and are solved numerically by adopting the finite difference method to obtain the solution for the field variables. The quantity and spatial distribution of linear heat sources/sinks affect the physical dynamics and optimum status of the entire system and the application of exponential heat sources/sinks can improve heat dispersion and energy efficiency in industrial operations such as nuclear reactors and steel production. The thermophoretic particle deposition parameter controls particle concentration by allowing particles to accumulate on surfaces or in specific areas of the fluid. A rise in Hartmann number causes a mechanical damping force to act in the opposite direction of the fluid motion, lowering the speed of the fluid in the curved sheet. The heat and mass transmission properties are analyzed through the Levenberg – Marquardt backpropagating algorithm and the correlation coefficient has ideal values of unity for training, validation, testing, and overall. In light of this, the anticipated behaviour of the LMNN-BPA indicated that the heat transfer profile numerical data and the network output are in good consensus.

Analysis of Darcy–Forchheimer flow of magnetized hybrid nanofluid (MoS 2+ZnO/E) with non-linear heat source and quartic autocatalytic chemical reaction

In this article, an effort is made to analyze the 3 − D flow of hybrid nanofluid over a rotating stretching sheet. The hybrid nanofluid contains engine oil as a base fluid amalgamated with nano-particles Mo S 2 and ZnO . The flow is assumed to pass through a Darcy–Forchheimer medium subjected to the influence of an inclined magnetic field. In addition, heat radiation, Joule heating, viscous dissipation, nonlinear heat source, and quartic autocatalytic chemical reaction are applied to discourse heat and mass transfer features. The PDEs representing the physical problem are converted to ODEs with the introduction of similarity transformations. The solution of the problem is determined numerically by using MATLAB built-in bvp4c method. The proposed mathematical model’s validation is ascertained by comparing it with an earlier study in limiting case. In this regard, an excellent consensus is accomplished. The current investigation reveals that the flow along axial direction gets retarded by enhancing the values of rotational parameter, inertial parameter, and magnetic parameter, whereas the flow along radial direction gets accelerated. The increasing value of angle of inclination admirably resists the motion of nanofluid and hybrid nanofluid. The concentration profile gets decreased under the increasing influence of inclination angle and Schmidt number while it enhances for homogeneous reaction parameter. The enhancing values of rotational parameter, solid volume fraction and temperature, and exponential dependent heat generation parameters enhance the value of Nusselt number.

Convective heat transfer of tri-hybrid nanofluid through a curved expanding surface with the impact of velocity slip and exponential heat source

Convective heat transfer of tri-hybrid nanofluid through a curved expanding surface with the impact of velocity slip and exponential heat source

Novel numerical approach toward hybrid nanofluid flow subject to Lorentz force and homogenous/heterogeneous chemical reaction across coaxial cylinders

The combination of AA7075 and Ti6Al4V aluminum alloys provides an effective balance of endurance, corrosion resistance, and lightness. Some potential applications include aviation components, marine structures with anti-corrosion characteristics, surgical instruments, and athletic apparel. Therefore, the hybrid nanofluid (Hnf) consists of aluminum alloys (AA7075-Ti6Al4V), water (50%), and ethylene glycol (EG-50%) in the current analysis. The Hnf flow subject to heat radiation and Lorentz force is studied through coaxial cylinders. In addition, the flow has been observed under the impacts of homogeneous-heterogeneous (HH) chemical reaction and exponential heat source/sink. The modeled equations (continuity, momentum, HH, and heat equations) are renovated into the non-dimensional form through the similarity approach, which are further numerically computed by employing the ND-solve technique coupling with the shooting method. It can be noticed from the graphical results that the flow rate of Hnf drops with the rising effect of porosity and magnetic field parameters. The addition of AA7075-Ti6Al4V nanoparticles (NPs) also reduces the fluid temperature and velocity profile. Furthermore, the concentration distribution diminishes with the flourishing effect of HH parameters.

The Effect of a Riga Plate On Casson Hybrid Nanofluid Flow Along a Stretching Cylinder with an Exponential Heat Source and Thermal Radiation

This study investigates the effect of a Riga plate on the flow characteristics of a Casson hybrid nanofluid through a stretching cylinder embedded in a porous medium in the presence of an exponential heat source and thermal radiation. This model is used toexplore the potential applications of this analysis in the fields of cancer treatment and wound healing. The governing partial differential equations are converted into a system of nonlinear ordinary differential equations using suitable similarity transformations. The governing partial differential equations (PDEs) were reduced to ordinary differential equations (ODEs) using similarity variables, and the heat transfer phenomena, fluid flow dynamics, and nanoparticle behavior in the base fluid were captured through numerical analysis. The Casson fluid model was used to capture the non-Newtonian characteristics of blood-like fluids in the circulatory system, and stretching was employed to mimic the blood vessel. The modeling involved incorporating thermal radiation (Ra) and an exponential heat source, which are encountered in cancer treatment. The Runge-Kutta order 4 with shooting technique was used to obtain numerical solutions of the governing equations, and the effects of the Casson fluid parameter, curvature parameter, nanoparticle volume fraction, Eckert number, and radiation parameter were analyzed. The results showed that the Riga plate affected the flow patterns by increasing the temperature, and the temperature distribution was improved by increasing the radiation parameter and nanoparticle concentration. The insights from this study could be used to optimize heat-based treatments for cancer and wound healing, where control of fluid dynamics and heat transfer processes is critical.

Heat and mass transmission through the nanofluids flow subject to exponential heat source/sink and thermal convective condition across Riga plates

The analysis of the squeezing nanofluid flow across bounded domains received great attention from researchers and engineers due to its tremendous application in automobiles, energy exchangers, and aerodynamics. In the current analysis, we are using double Riga plates parallel to each other, in order to induce the squeezing nanofluids flow with the significances of chemical reaction, thermal radiation, and heat source/sink. The nanoliquid has been prepared by the dispersion of Copper (Cu) nanoparticles (NPs) in kerosene oil (C12H26C15H32) and water (H2O). The nanofluid flow has been modeled in form of nonlinear partial differential equations, which are further convert into the dimensionless form of ordinary differential equations. The obtained set of non-dimensional equations is numerically resolved by using the Matlab built-in package bvp4c. The results are compared to another numerical technique for accuracy purposes. The detailed results are presented in Figures. It has been detected that the energy field of nanofluid is enriched with the effect of heat source/sink component. Moreover, the velocity curve magnifies with the variation of the squeezing parameter of Riga plates, whereas declines with the accumulation of Cu-NPs in both types of base fluid (C12H26C15H32 and H2O).

A comparative study of prescribed thermal analysis of a non-Newtonian fluid between exponential and linear porous surfaces

The present study communicates with the thermal analysis of an incompressible micropolar fluid by considering two different prescribed conditions corresponding to two different surfaces. On the porous surface of two different stretchable sheets, the unsteady flow problem of a micropolar fluid is explored by taking the variable impacts of the magnetic field. For both considered sheets, the prescribed thermal analysis is carried out with the contribution of joule heating, viscous dissipation, and radiation. Two prescribed cases of surface temperature and heat flux are discussed for linear stretched surface. Similarly, prescribed cases of exponential surface temperature and exponential heat flux are investigated for the case of an exponential stretchable surface. An effective technique of bvp4c in MATLAB is utilized to numerically tackle the governing equations of the problem. Both the distributions of temperature and velocity and the field of microrotation are graphically scrutinized relative to different geometries and several pertinent parameters. This study of thermal analysis with prescribed conditions elucidates that for an exponential surface, three distributions of flow phenomenon (temperature, microrotation, velocity) manifest more prominent results in comparison to the stretchable surface with linear velocity.

Thermal characterization of Sutterby nanofluid flow under Riga plate: Tiwari and Das model

This investigation uses the Tiwari and Das nanofluid model to enhance the heat transfer rate in Sutterby nanofluid over a Riga plate. The effects of heat source/sink, viscosity dispersion, and mass flow for water-based fluids are also considered in this work. Sutterby fluid has been utilized to investigate the rheological features of nanofluids. The transverse Lorentz force produced by the Riga plate assists in the flow down the plate by producing an electromagnetic field. The main aim of this investigation is to evaluate the presence of two different types of nanoparticles in water, specifically silicon carbide [Formula: see text] and copper [Formula: see text]. Dimensionless variables are first used to convert the mathematical model into a non-dimensional form. The similarity approach is then used to further rewrite the non-dimensional partial differential equations into a set of similarity equations. The bvp4c function in MATLAB software provides a numerical solution to these equations. The effects on temperature and velocity profiles of many physical factors, including the Reynold number, heat source/sink, and Deborah number, have been analyzed and presented. Furthermore, using tables, a detailed analysis of the skin friction coefficient and local Nusselt numbers is conducted. The results show that convective flow is suppressed when solid nanoparticles are added to the base fluid. The velocity distribution improves as Deborah and Reynold’s numbers get a higher value. Also, the temperature field improves by incrementing exponential and thermal heat source/sink parameters.

Numerical analysis of multiple slip effects on CuO /MgO/TiO2-water ternary hybrid nanofluid with thermal and exponential space-based heat source

In contemporary science, the efficiency of heat transfer holds paramount importance across various engineering applications, where nanofluids play a significantly influential role. Therefore the present study focuses on the significance of multiple slip in heat transfer of3-Dnatural convectional ternary hybrid nanofluid flow across a stretching sheet. The study investigates the implications of a temperature-dependent and exponentially space-based heat source, coupled with non-linear thermal radiation effects. Impact of magnetic field is further considered for the present investigation. The three dissimilar nanoparticles (CuO,MgO&TiO2) are dispersed in water as base fluid to improve the heat transfer. The system of partial differential equations is developed under considered assumptions. The Partial differential equations (PDEs) are transmuted into nonlinear coupled dimensionless system of ordinary differential equations (ODEs) by applying similarity transformations. The reduced dimensionless nonlinear equations are numerically solved by employing shooting scheme via bvp4c built-in function MATLAB. The properties of flow controlling parameters via velocity and thermal profiles are elaborated through graphs. The results designated that the x-direction velocity slip declines the velocity. The momentum profile (velocity profile) is declined for greater stretching ratio parameter. Furthermore, it is analyzed that the thermal field is boosted up for larger amounts of temperature base and exponential space-based heat source. It is concluded that heat conduction capacity is higher in ternary hybrid nanofluid than hybrid and mono nanofluids. Additionally, Prandtl number serves to enhance the Nusselt number with augmentation in Thermal radiation parameter. The physical applications of the considered model in solar energy, heat pumps, heat exchangers, air purifiers, the automotive industry, electrical chillers, turbines, nuclear networks, broadcasters, ships, and biotechnology.

Radiative nanofluid flow over a slender stretching Riga plate under the impact of exponential heat source/sink

Abstract Recognizing the flow behaviours across a Riga plate can reveal information about the aerodynamic efficiency of aircraft, heat propagation, vehicles, and other structures. These data are critical for optimizing design and lowering drag. Therefore, the purpose of the current analysis is to examine the energy and mass transfer across the mixed convective nanofluid flows over an extending Riga plate. The fluid flow is deliberated under the influences of viscous dissipation, exponential heat source/sink, activation energy, and thermal radiation. The Buongiorno’s concept is utilized for the thermophoretic effect and Brownian motion along with the convective conditions. The modelled are simplified into the lowest order by using similarity transformation. The obtained set of non-dimensional ordinary differential equations is then numerically solved through the parametric continuation method. For accuracy and validation of the outcomes, the results are compared to the existing studies. From the graphical analysis, it can be observed that the fluid velocity boosts with the rising values of the divider thickness parameter. The fluid temperature also improves with the effect of Biot number, Eckert number, and heat source factor. Furthermore, the effect of heat source sink factor drops the fluid temperature.

Numerical simulation of hybrid nanofluid flow consisting of polymer–CNT matrix nanocomposites subject to Lorentz force and heat source/sink across coaxial cylinders

The hybrid nanofluid (HNF) flow consists of polymer/CNT matrix nanocomposite material (MNC) across coaxial cylinders is numerically described in this study. The HNF flow is inspected under the consequences of thermal radiation, exponential heat source/sink and viscous dissipation. The HNF is prepared by adding polymer/CNT MNC in water. MNCs are highly productive elements with unique designs and properties. The MNCs are widely used in biomedicine and electrical applications due to their exceptional thermophysical properties. Based on their exceptionally high electrical conductivity, CNT/polymer nanoparticles (NPs) are also utilized as shielding for electrostatic discharge and electromagnetic interference (EMI). The HNF flow is modeled with the help of energy, continuity, and momentum equations. MATLAB package bvp4c is used to numerically handle the modeled equations. It has been perceived that the intensifying numbers of polymer/CNT MNC will lessen the fluid velocity and temperature profile in cases of both nanofluid and HNF.