Nonlinear Radiation Research Articles

MHD 3D Mixed Upper Convective Flow of Maxwell Nanofluid Flow Past in the Presence of Diffusion Thermo and Thermophoresis Effect using Nonlinear Radiative Heat Flux

This article aims to investigate the impact of nanoparticles and magnetohydrodynamics (MHD) on the transfer of heat and mass using a three-dimensional upper-convected Maxwell (UCM) nanofluid flow across a stretched surface. A nonlinear radiative heat flow was included in formulating the equation that describes energy. The nonlinear partial differential equations of the issue are transformed into ordinary differential equations utilizing the similarity transformation. These equations are then solved using the well-known shooting approach in conjunction with the Runge-Kutta integration process of order four. To increase the dependability of our findings, make use of the MATLAB. On the velocities, temperatures, and concentrations of the particles, the graphical and numerical representations of the effects of the main parameters, such as the Dufour parameter, the Brownian motion parameter, the Prandtl number, the thermophoresis parameter, and the magnetic parameter, are presented. It has been shown that the flow velocity decreases as a function of both the linear and nonlinear thermal radiation parameters. In addition, increasing values of the Brownian motion parameter have the effect of reducing the nanoparticle concentration profile

A thin layer lubricant surface applications due to nonlinear radiated hybrid nanoparticles with orthogonal stagnation point flow

ABSTRACT The improved thermal association of heat transfer is considerably observed due to hybrid nanoparticles. Being to suspension of base fluids with two distinct nanoparticles, the stable properties of hybrid nanofluids are measured. Current contribution reports the enhancement in thermal impact of water (base liquid) uniformly decomposed with hybrid nanoparticles theoretically. The hybrid nanofluid properties are justified with copper and aluminum oxide nanoparticles. With improved heat transfer mechanism, the motivations for observing the aspect of lubrication phenomenon in the vicinity of stagnation points are associated to the manufacturing systems and chemical processes ample applications in fluid bearing, assembling of thin films, coating and printing. Moreover, the treatment of heat transfer is further influenced by nonlinear radiation and mixed convection applications. The dimensionless variables successfully transformed the system into a dimensionless form, which is further solved using the Keller box method. The comparative heating transfer onsets are predicted for the traditional nanofluid with suspension and hybrid nanofluid with decomposition. The results show that the lubrication phenomenon controls the wall shear force while enhancement in Nusselt number is noticed. Increasing observations for skin friction and Nusselt number are resulted for hybrid nanofluid as compared to simple nanofluid.

Thermal Diffusion and Diffusion Thermo Effects on MHD 3D Mixed Upper Convective Flow of Maxwell Nanofluid Flow Past using Nonlinear Radiative Heat Flux

This article aims to investigate the effect of nanoparticles and magnetohydrodynamics (MHD) on the transfer of heat and mass using a three-dimensional upper-convected Maxwell (UCM) nanofluid flow across a stretched surface in the presence of diffusion thermo and thermal diffusion. A nonlinear radiative heat flow was included in formulating the equation that describes energy. The nonlinear partial differential equations of the issue are transformed into ordinary differential equations utilizing the similarity transformation. These equations are then solved using the well-known shooting approach in conjunction with the Runge-Kutta integration process of order four. To increase the dependability of our findings, we additionally make use of the bvp4c built-in function that is available in MATLAB. On the velocities, temperatures, and concentrations of the particles, the graphical and numerical representations of the effects of the main parameters, such as the Dufour parameter, the Brownian motion parameter, the Prandtl number, the thermophoresis parameter, and the magnetic parameter, are presented. It has been shown that the flow velocity decreases as a function of both the linear and nonlinear thermal radiation parameters. In addition, increasing values of the Brownian motion parameter have the effect of reducing the nanoparticle concentration profile

MHD slip effects on (50:50) hybrid nanofluid flow over a moving thin inclined needle with consequences of non-linear thermal radiation, viscous dissipation, and inclined Lorentz force

Due to their enormous implementation in engineering scrupulous, hybrid nanofluids have become a prevailing substance of consideration in mathematical and physical research. The augmentation of thermal conductivity is an exclusive emphasis of hybrid nanofluids. The fluid prototype substance probing in the existing study is the Ethylene Glycol–water (50:50) as base fluid and a mixture of nanoparticles are magnetic (Fe3O4) and non-magnetic (Al2O3) hybrid nanofluid. It is found in heat transfer and cooling in electronic devices, engines, refrigerants, energy storage and the automotive industry. To obtain solutions, the Partial Differential Equations with slip boundary conditions that describe the flow are converted into Ordinary Differential Equations with appropriate transformations using a numerically based technique known as the fourth-order Runge–Kutta method with shooting techniques. The illustration diagram of the gained outcomes accentuates the consequence of numerous physical variables on the flow dynamics in relation to fluid momentum, and thermal silhouette. Also, the consequence of heat transfer rate and surface drag force in multiple variables like Eckert number, magnetic variable, and radiation constant, are tabulated. These studies explain the decline in the thermal outline of hybrid nanofluid under slip situations when upsurges the non-linear radiation parameter. By analyzing these studies of hybrid nanofluids, it is possible to improve heat transfer efficiency and control temperature gradients in systems where nonlinear thermal radiation and viscous dissipation are important factors.

Investigation of Oldroyd‐B fluid flow and heat transfer over a stretching sheet with nonlinear radiation and heat source

AbstractThe given investigation concerns the study of non‐Newtonian Oldroyd‐B fluid flow across a permeable surface along with nonlinear thermal radiation, chemical reactions, and heat sources. Equations modified are thus numerically evaluated by employing bvp4c‐technique. Obtained outcomes are exhibited graphically. Pictorial notations are used to investigate the consequences of necessary parameters of velocity, energy, and mass. Acquired outcomes provide promising agreement with already established consequences provided in the open literature. The obtained results guided that magnetic field parameter (), porosity parameter (), Deborah number reduce momentum boundary layer thickness, furthermore, growth in the relevant Deborah number improves the corresponding momentum boundary layer.

Bioconvection transport of upper convected Maxwell nanoliquid with gyrotactic microorganism, nonlinear thermal radiation, and chemical reaction

Abstract The microorganisms’ concept has appealed substantial consideration of modern researchers because of its utilization in commercial and industrial products, for illustration, biofuel (prepared from the waste), drug delivery, and fertilizers. Keeping such utilizations of microorganisms in mind, an analysis based on gyrotactic microorganisms featuring the mixed convective nonlinear radiative Maxwell nanoliquid stagnation point flow configured by permeable stretching surface is presented. Boundary layer stretching flow subjected to transpiration effects is formulated. Modeling is based on Buongiorno’s nanoliquid model. This model captures Brownian diffusion along with thermophoresis aspects. Energy expression is formulated under nonlinear version of radiative heat-flux, heat source, thermal Robin conditions, and heat sink. Mass transport analysis is presented considering solutal Robin conditions and chemical reaction. In addition, the Robin conditions for motile microorganisms are also considered. The complex mathematical expressions of Maxwell liquid are simplified utilizing the Boundary layer concept and then suitable transformations assist to obtain the mathematical problems in ordinary differential forms. The analytical approach (that is homotopy analysis methodology) is utilized for computational analysis. The outcomes obtained are presented graphically and numerically. The detailed description of emerging physical non-dimensional parameters is included. Our findings indicate that the motile density field strongly boosted with the increment in Peclet number and microorganisms Biot number; however, they are suppressed with the increase in the values of bioconvection Schmidt number and motile microorganism concentration difference parameter.

Unsteady non-axisymmetric MHD Homann stagnation point flow of CNTs-suspended nanofluid over convective surface with radiation using Yamada–Ota model

The increasing number of ways in which carbon nanotubes (CNTs) may be used in business and technology has led to an explosion of interest in these tiny tubes. As a result, the Yamada–Ota model is used to investigate the unsteady, non-axisymmetric MHD Homann stagnation point of carbon nanotubes passing over a convective surface with nonlinear radiation. Consisting of single-walled and multi-walled carbon nanotubes that are suspended in water (H2O). The length of the nanomaterial is between [Formula: see text] nanometers, while its radius is between [Formula: see text]. The method of similarity transformation is altered so that it may be used to get the dimensionless system of differential equations from the mathematical model that is envisioned for PDEs. After that, approximate solutions are obtained using MATHEMATICA and the Shooting with RK-IV technique. In this paper, we provide a graphical discussion and a physical interpretation of the results of measures of practical significance as a function of key factors. The results indicated that an increase in the volume fraction led to a corresponding rise in the heat transfer rate. However, it is reduced by the magnetic energy that is supplied to it. Carbon nanoliquids with a single wall have a greater melting point than nanoliquids with multiple walls. Industrial and technological uses of the issue under examination span several fields, including aviation and health. The results of the interface velocity and heat transfer rate at the surface, as well as the solution of each profile, are shown graphically, along with an analysis of the effects of MHD on the flow and heat transfer characteristics of the fluid under the influence of radiation.

Nonlinear radiation effects on water-based nanofluid containing CNTs subject to heat source/ sink past a wedge

In this paper, a two-dimensional and incompressible laminar flow comprised of water-based carbon nanotubes over convectively heated moving wedge under the magnetic field and nonlinear radiation and heat production/ absorption is investigated. The base nanofluid (water) contains single wall carbon nanotubes (SWCNTs) and multiple walls carbon nanotubes (MWCNTs). In order to convert the dimensional nonlinear partial differential equations in nondimensional nonlinear ordinary differential form, an adequate set of similarity variables had been used. These set of equations and boundary conditions are evaluated by the implementation of RKF-45 (Runge–Kutta–Fehlberg fourth-fifth) order scheme. The influence of several physical parameters on particular nanoparticle’s volume friction, temperature and velocity ratio parameter, heat source/ sink parameter, nonlinear radiative constraint, exponent constant, magnetic factor, Eckert and Biot numbers is studied. An opposite behavior of volume fraction and velocity ratio parameters on velocity and energy profiles is achieved.

Impacts of thermal radiation with nanoparticle aggregation and variable viscosity on unsteady bidirectional rotating stagnation point flow of nanofluid

Interest in nanofluids with nanoparticle-induced aggregation effects like solar-powered energy and crossflow heat transfer is growing in the modern industrial sector. The main goal of this research is to find out how nonlinear radiation, changes in viscosity, and aggregation affect the flow of ethylene glycol-based nanofluids in three dimensions. It is concerned with stagnation point flows that are not axisymmetric and that take place on stretching sheets. In accordance with the imposed hypotheses, the governing equations will be modelled. With the help of a similarity transformation, a complicated set of nonlinear partial differential equations can be turned into a simpler set of ordinary differential equations. This simplification facilitates the process of solving the equations. The algorithm will then be used to perform a numerical solution of the simplified set of equations. Runge-Kutta (RK-IV) and the shooting method are used to derive the numerical results. Different parameters and their effects are graphically displayed. As the concentration of nanoparticles in the skin increases, it appears that both the rate of heat transmission and the coefficient of friction increase. The heat transfer rate and the skin coefficient of friction inclination both increase as the instability parameter is increased. To the contrary, it was found that delaying boundary layer's separation by increasing stress rate of surrounding fluid was effective. Tables also compare the nanoparticles aggregation effects with and without radiation and show the variation in Nusselt numbers. High levels of agreement were found between the findings of the current study and those of a previous publication for the same instance, lending further support to the findings.

Dynamical phenomena developed by a spiralling stretchable sheet in magnetized Casson-spinel ferrite nanofluid

Nanofluid research has sparked widespread attention due to its immense implementations in various courses, including chemical engineering, microelectronics, solar energy, cooling systems, electronics, power-saving, etc. This research offers modelling and numerical simulation for the magnetized Casson-based spinel ferrite (MnFe2O4) nanofluid stream owing to a spiralling stretchable sheet placed in a Darcy permeable medium. Diverse impacts like nonlinear heat radiation, viscous and Joule warms, and heat generation/absorption are considered in stimulating heat exchange. Under the imposed physical assumptions, equations governing the flow and heat flow are modelled. The partial derivative model is transferred to the ordinary derivative model by utilising compatible similarity variables. The resulting nonlinear linked ordinary derivative model is tackled computationally by the 4th-order Runge-Kutta integration procedure, accomplishing the best strategy shooting algorithm based on the built-in function of the bvp4c solver in MATLAB. Different attributes of the considered flow phenomenon corresponding to the pertinent model parameters are disclosed effectively via graphs and tables. Some leading outcomes are that amplification is examined in the thermal field and allied zone thickness responding to the radiation parameter and Biot number. With the upgraded rotation parameter, an augmentation is developed in the absolute value of the local skin friction coefficients. Moreover, amplifying the rotation parameter enfeebles the local Nassault number. This modelling could be effective in manufacturing and technological processes like polymeric material extrusion, stretchable/shrinkable packaging, and designing magnetic storage devices.

Simulation of entropy and heat and mass transfer in Water-EG based hybrid nanoliquid flow with MHD and nonlinear radiation

The essence of heat transfer has always been a major aspect in the evolution of modern day industrialization. In order to enhance the heat transfer rate the fluids have also evolved from traditional fluids to more complex hybrid nanofluids. Here in this scenario a hybrid nanofluid flow consisting of Co and Ti nanoparticles have been considered. The flow is drawn over a pervious stretchable cylinder concealed by the impacts of nonlinear radiation and magnetic field. The rate of heat transfer and entropy accumulated during the mechanism has also been evaluated for the system. This study of entropy provides a broader area of development for industrial organizations. The governing equations were solved by using the BVP4C tool of MATLAB. For this applicable similarity transformations were used to non dimensionalize the equations and then converted to IVP for obtaining the solutions. Both graphical and tabular form of the solutions were provided for better understanding of the situation. The novel results gained from the analysis concluded that the efficiency of heat transfer was more in case of hybrid nanofluid than that of nanofluid and the base fluid. The magnetic field inversely affected the velocity profile of the fluid whereas the nonlinear radiation directly affected the temperature distribution of the fluid. These results offer a variety of information for many large scale industries like food processing industries, plastic industries etc., to improvise their system.

Computation of stagnation coating flow of electro-conductive ternary Williamson hybrid mathrm{GO}-mathrm{AU}-{mathrm{Co}}_{3}{mathrm{O}}_{4}/mathrm{EO} nanofluid with a Cattaneo–Christov heat flux model and magnetic induction

Modern smart coating systems are increasingly exploiting functional materials which combine multiple features including rheology, electromagnetic properties and nanotechnological capabilities and provide a range of advantages in diverse operations including medical, energy and transport designs (aerospace, marine, automotive). The simulation of the industrial synthesis of these multi-faceted coatings (including stagnation flow deposition processes) requires advanced mathematical models which can address multiple effects simultaneously. Inspired by these requests, this study investigates the interconnected magnetohydrodynamic non-Newtonian movement and thermal transfer in the Hiemenz plane's stagnation flow. Additionally, it explores the application of a transverse static magnetic field to a ternary hybrid nanofluid coating through theoretical and numerical analysis. The base fluid (polymeric) considered is engine-oil (EO) doped with graphene left(GOright), gold left(Auright) and Cobalt oxide left(C{o}_{3}{O}_{4}right) nanoparticles. The model includes the integration of non-linear radiation, heat source, convective wall heating, and magnetic induction effects. For non-Newtonian characteristics, the Williamson model is utilized, while the Rosseland diffusion flux model is used for radiative transfer. Additionally, a non-Fourier Cattaneo–Christov heat flux model is utilized to include thermal relaxation effects. The governing partial differential conservation equations for mass, momentum, energy and magnetic induction are rendered into a system of coupled self-similar and non-linear ordinary differential equations (ODEs) with boundary restrictions using appropriate scaling transformations. The dimensionless boundary value problem that arises is solved using the bvp4c built-in function in MATLAB software, which employs the fourth-order Runge–Kutta (RK-4) method. An extensive examination is conducted to evaluate the impact of essential control parameters on the velocity f{^{prime}}left(zeta right), induced magnetic field stream function gradient g{^{prime}}left(zeta right) and temperature theta left(zeta right) is conducted. The relative performance of ternary, hybrid binary and unitary nanofluids for all transport characteristics is evaluated. The inclusion of verification of the MATLAB solutions with prior studies is incorporated. Fluid velocity is observed to be minimized for the ternary mathrm{GO}–mathrm{Au}–{mathrm{Co}}_{3}{mathrm{O}}_{4} nanofluid whereas the velocity is maximized for the unitary cobalt oxide left({mathrm{Co}}_{3}{mathrm{O}}_{4}right) nanofluid with increasing magnetic parameter (beta ). Temperatures are elevated with increment in thermal radiation parameter (Rd). Streamlines are strongly modified in local regions with greater viscoelasticity i.e. higher Weissenberg number (We). Dimensionless skin friction is significantly greater for the ternary hybrid GO–Au–C{o}_{3}{O}_{4}/EO nanofluid compared with binary hybrid or unitary nanofluid cases.

Bioconvective nonlinear radiative flow of cross nanofluid due to porous oscillating surface with variable thermal conductivity and Cattaneo–Christov model

Present exploration elucidates the bio-convective time-dependent flow of Cross nanoparticles across periodically stretched surface immersed in porous space. Modified diffusion theories are employed to evaluate mass and thermic transference attributes effectively. Aspects of thermic transformation are additionally inspected with nonlinear radiation, variable thermic conductivity and heat generation characteristics. Magnetic consequences are deployed for physical importance. Dimensionless expressions are accomplished with pertinent transformations, and then analytically elucidated by homotopic technique. Physical importance of leading variables on curves of skin friction, temperature, microorganisms and concertation are premediated graphically. Numerical computations are executed to briefly notice the significance of relative variables on local Sherwood, motile density and Nusselt numbers and organized in respective tables. It is acknowledged that velocity curves display declining tendencies for enlarging buoyancy ratio, bio-convective Rayleigh and Weissenberg numbers. The present study accentuated that temperature boosted prominently for heat generation and variable thermic conductivity. The attained outcomes further divulge that concentration display diminishing results for solutal relaxation variable while such declining outcomes ensued in temperature for thermic relaxation variable. Furthermore, microorganism’s curves display declining responses for bio-convective Lewis and Peclet variables. Finally, shear wall force improved for magneto-porous variable but lessened for Weissenberg number.

Non-similar solution of mixed convection flow of viscous fluid over curved stretching surface with viscous dissipation and entropy generation

The non-similar solution of a viscous fluid caused by a curved stretching surface with a convective boundary condition is considered in this article. The momentum equation is modified by considering the effects of MHD and mixed convection. The energy equation is modeled as subjected to joule heating and thermal radiation effects. The independent variable "s" is present in the Eckert and Grashof numbers, which is incompatible with dimensionless parameters. In this regard, a non-similar technique is used to tackle the problem. The non-similar approach has not been tried on a curved stretching surface. Moreover, the entropy rate is discussed under these observations. The non-similarity transformation is used to convert the modeled governing equations into dimensionless PDEs. A local non-similarity method is employed for the conversion of PDE’s into ODE’s, and the numerical solution of the resulting equations is obtained via bvp4c. The novelty of the problem is that when the thermal radiation, Hartman number, and Brinkman number increase, the entropy generation increases. The Bejan number increases with the Hartman number and thermal radiation, while the Brinkman number shows the opposite behavior in boundary layer. The nonlinear radiation parameter increases the thermal profile while reverse tends noticed for the entropy generation and Bejan number. The behaviors of velocity and temperature profiles are discussed graphically for the different parameters. Physical quantities like heat transfer rate and drag force are presented in tabular form.

Analysis of viscously dissipated three-dimensional flow of Williamson fluid with nonlinear radiation and activation energy

The main purpose current exploration is to examine the influence of viscous dissipation and nonlinear radiation in three-dimensional (3D) Williamson fluid flow on an exponentially stretching through porous medium with the effect of activation energy along with chemical reaction. By employing suitable transformation, the nonlinear partial equations (PDEs) are transmuted to nonlinear ordinary differential equations (ODEs) which are subsequently solved numerically by using Range-Kutta method with shooting technique by utilization Matlab script. Characteristics of resulting physical parameters appearing in modeling like the Weissenberg number, Prandtl number, nonlinear radiation parameter, porosity parameter, Eckert number and chemical reaction parameter are comprehensively analyzed in graphical forms with an interest in providing the physical meaning to each parameter. The outcomes anticipate that, the thermal profile is improved by the increase in the values of nonlinear radiation parameter due to inner heat. The thermal profile enhances by strengthening of Eckert number but it has opposite trend through Prandtl number. The impact of obtained parameters on skin friction coefficient, mass and heat transfer rates is illustrated by tables. The validity of the present findings is presented by comparing them with the previous investigations.

Impact of nonlinear radiation on an unsteady magneto hybrid nanofluid flow over an upward/downward rotating disk

In this article, we scrutinized the impact of nonlinear thermal radiation and an externally applied magnetic field over a rotating upward or downward disk on an unsteady 3D hybrid nanofluid flow in the presence of SWCNT(single-walled carbon nanotube)+ F e 3 O 4 (ferrosol ferric oxide) and MWCNT(multi-walled carbon nanotube)+ F e 3 O 4 with water as a base fluid. The foremost partial differential equations (PDEs) with boundary conditions of the flow model are converted into ordinary differential equations (ODEs) by considering suitable transformations and then solved numerically by using RKF-45 by implementing a shooting technique. Fluid flow characteristics are explored for various parameters and presented using graphs and charts. The results show that an increase in the radiation parameter causes an upsurge in the thermal field in the fluid flow of MWCNT+ F e 3 O 4 -water/SWCNT+ F e 3 O 4 -water hybrid nanofluid. The thermal profile and axial velocity profile of MWCNT+ F e 3 O 4 and SWCNT+ F e 3 O 4 with water-based hybrid nanofluid increase as magnetic parameter values rise but radial and azimuthal velocity profiles decrease. Also, the Nusselt number for MWCNT + F e 3 O 4 -water hybrid nanofluid is 0.35% less than SWCNT + F e 3 O 4 -water hybrid nanofluid.

Entropy optimization of non-Newtonian hybrid nanofluid flow with non-linear radiation, exponential and thermal dependent heat source: Neuro-intelligent design

Entropy optimization of non-Newtonian hybrid nanofluid flow with non-linear radiation, exponential and thermal dependent heat source: Neuro-intelligent design

Significance of Navier’s slip and Arrhenius energy function in MHD flow of Casson nanofluid over a Riga plate with thermal radiation and nonuniform heat source

Riga plate is known to create a crossing electric and magnetic field to generate a wall-parallel Lorentz force. The significance of Casson nanofluid flow past a Riga plate is observed in the sphere of engineering, such as polymer extrusion, food manufacturing, plastic films, oil reserves and geothermal manufacturing. Researchers are interested in this model because of its potential use in biological rheological models. As Casson nanofluid flows are of great interest, this study aims to investigate the three-dimensional magnetohydrodynamics (MHD) flow with heat and mass transport of Casson nanofluid over a flat Riga plate. As a novelty, this study also includes the effectiveness of wall velocity slip, activation energy, nonlinear radiation, and temperature and space-dependent heat source/sink. Suitable similarity transformations have been employed to generate the dimensionless ordinary differential equations (ODEs) from the partial differential equations (PDEs) regulating the fluid flow problem. The transformed nonlinear boundary value problem is then solved numerically using the in-built routine “bvp4c” in MATLAB. The visual demonstrations are provided for the effects of various significant physical factors on the flow, heat and mass distributions. On the other hand, wall shear stress and rates of heat and mass transport at the surface are measured and displayed numerically in tabular form. The findings indicate that the fluid velocity in both directions slows as the velocity slip parameter increases. However, the velocity profile is escalated with the boost of modified Hartmann number. An increase in heat source parameters leads to decrease the heat transmission rate at the wall. The higher values of the radiation parameter result in a better wall heat transmission rate. Further, the rate of mass transport drops when the activation energy parameter is hiked.

Analysis of nonlinear radiative peristaltic transport of hyperbolic tangent nanomaterial with chemical reaction

In this research, we examine the mixed convection effects for peristaltic motion of tangent hyperbolic nanoliquid. On flexible channel walls, partial slip characteristics are applied. Influences of Ohmic heating and viscous dissipation are analyzed in the modeling. We evaluated the transportation of heat under nonlinear thermal radiation. The governing problem is first reduced into dimensionless form by using suitable transformations and then numerical technique is employed for the solution after utilizing small Reynolds number and large wavelength assumption. The problem is simulated employing the so-called Buongiorno’s formulation which includes the features of thermophoresis and random motion. In addition, a mass transport scheme is developed with first-order chemical reactions. The roles of sundry variables on velocity, coefficient of heat transfer, temperature and concentration are examined graphically. Velocity and temperature show similar behavior against thermal Grashof parameter. Concentration decreases for larger thermophoresis parameter. Heat transfer coefficient and temperature have decreasing effects against radiation parameter.

New insight into the dynamics of non-Newtonian Powell-Eyring fluid conveying tiny particles on Riga plate with suction and injection

The purpose of the current work is to determine how a magnetic field, nonlinear thermal radiation, a heat source or sink, a Soret, and activation energy affect bio-convective nanofluid flow across a Riga plate in terms of heat transfer qualities. The major goal of this investigation is to enhance the heat transfer rate. The flow problem is demonstrated in the form of a collection of PDEs. Since the generated governing differential equations are nonlinear, we use a suitable similarity transformation to change them from partial to ODEs. The bvp4c package in MATLAB is used to numerically solve the streamlined mathematical framework. The impacts of numerous parameters on temperature, velocity, concentration, and motile microorganisms profiles are examined through graphs. Whereas, skin friction and Nusselt number are illustrated using tables. As the magnetic parameter values are raised, the velocity profile is seen to decrease and the temperature curve exhibits the opposite tendency. Additionally, the heat transfer rate expands as the nonlinear radiation heat factor is enhanced. Moreover, the outcomes in this investigation are more consistent and precise than in earlier ones.