Thermophoresis Phenomena Research Articles

On the hydrothermal features of MHD nanofluid flow over a differently shaped thin needle influenced by Hall current with nonlinear thermal radiation

PurposeThe investigation has appraised the problem of an incompressible laminar steady magnetohydrodynamic (MHD) nanofluid stream over three distinct slendering thin isothermal needles of paraboloid, cylindrical and cone shapes. Water as a base liquid is assumed in this flow model. The influences of the Hall current and variable sorts of magnetic forces have enriched our investigation. Energy and concentration expressions consist of thermophoresis and Brownian migration phenomena. The analysis of thermal and mass slips of the presumed model has also been performed.Design/methodology/approachA relevant transformation is implemented for the alteration of the leading partial differential equations (PDEs) to the equations with nonlinear ordinary form. Due to the strong nonlinearity of the foremost equations, the problem is solved numerically by embedding the well-known RK-4 shooting practice. The software MAPLE 2017 has been exploited in reckoning the entire computation. To enunciate the investigated upshots, some graphical diagrams have been regarded here. According to technological interest, we measured the engineering quantities like the Sherwood number, the coefficient of drag friction and the Nusselt number in tabular customs.FindingsThe obtained consequences support that Hall current intensifies fluid movement when the needle is in a cone shape, while the superior velocity is noticed for cylindrical-shaped needles. The transference of heat responds inversely along with the growths of thermal and mass slip factors.Originality/valueNo work has been performed on the flow model of radiated nanofluid over a variable-shaped thin needle under Hall current, the variable magnetic field and different slip factors.

Entropy optimization of a FENE-P viscoelastic model: a numerically guided comprehensive analysis

AbstractThe influence of polymers on entropy generation processes is substantial, particularly in the fields of fluid dynamics and rheology. The FENE-P (Finitely Extensible Nonlinear Elastic-Peterlin) model describes the polymer’s dynamics as a result of the interaction between the stretching caused by the velocity gradient and the elastic force that restores the polymer to its equilibrium position. Models such as FENE-P aid in understanding and predicting polymer flow behaviour allowing for the reduction of entropy generation by optimizing system designs. A continuum approach is employed to express the heat flux vector and polymer confirmation tensor of the model. The study investigates the complex relationship between polymer conformation, flow dynamics, and heat transfer taking into account the thermophoresis (Soret effect) and mass diffusion-thermal diffusion coupling (Dufour effect) phenomena to optimize processes by reducing entropy. This study illuminates polymer’s significance in entropy minimization, improving engineering design methodologies and applications in materials science, chemical engineering, and fluid dynamics. As result, the presence of polymers leads to a substantial decrease in the total entropy of the system. This understanding provides opportunities for enhancing heat transfer systems, thereby facilitating the development of more efficient and sustainable technology.

Entropy generation on inclined magnetize double diffusive convective transportation of radiative Casson nanofluid in porous medium with source/sink

This research intends to investigate the entropy generation on the magnetized double diffusive heat and mass transfer flow of the Casson nanofluid under the influence of an inclined magnetic field in a porous medium. Additionally, the combined impact of heat absorption, chemical reaction, Brownian diffusion, source/sink, and thermophoresis phenomena is also taken care of. The fluid flow involves convective boundary conditions for both temperature and concentration instead of a constant value at the surface. The flow-regulating system involved nonlinear PDEs that are turned into nonlinear systems of ODEs by using scaling variables and then solved this system numerically in Matlab using the bvp4c strategy, which is a collocation technique based on the Lobatto 3-stage FDM algorithm. Graphical representations illustrate the behavior of fluid velocity, entropy generation, concentration, and temperature in response to changes in flow parameters. Physical quantities like skin friction coefficient, Nusselt number, and Sherwood number have been investigated using 2D and 3D plots. Here, we concluded that the inclined magnetic field decimates the flow velocity gradually and greater values of the magnetic field lead to an increased rate of entropy generation. Furthermore, it has been noted that the temperature profile improves as the Brownian motion of particles increases, and the distribution of energy also enhances with larger values of the thermophoresis. The obtained key findings are discussed in a physical manner using graphic representation.

Irreversibility scrutiny of SWCNT and MWCNT nanofluid convective flow using Darcy-Forchheimer rule in an upright microchannel with variable thermal conductivity and Brownian motion and thermophoresis

Carbon nanotubes are used to attain greater thermal transfer rates in a various of enormous applications in the field of microsystem, emission, conductive polymers, fibers, and fabrics. Hence the aim of this article is to explore the entropy generation analysis of single wall carbon nanotubes and multiwall carbon nanotubes flow in an upright micro channel with variable thermal conductivity. The exponential heat source and non-linear thermal radiation were considered. The micro channel retains the no slip and convective boundary conditions. The Buongiorno model was used in this study, which emphasizes the light on Brownian motion and thermophoresis phenomena that occur during the fluid flow. Darcy- Forchheimer model is also taken into account. The governing equation numerically solved by employing Runge-Kutta Fehlberg's fourth-fifth order. The repercussion of this study upholds that the inflates of variable thermal conductivity magnify the thermal field. Entropy production inflates at right wall of the channel with augmented Brownian parameter and exhibits exactly opposite behavior at left wall of the channel. One of the important tasks of the investigation was to compare SWCNT and MWCNT. The findings confirmed that multiwall carbon nanotubes exhibit more magnificent heat and mass transfer than single wall carbon nanotubes.

Melting heat transmission of Maxwell nanofluid flow caused due to a stretchable cylindrical pipe through Finite Element Technique

AbstractThe objective of current investigation is to examine Maxwell fluid flow generated by cylindrical stretching pipe. Thermophoresis and Brownian moment phenomena will also incorporate on the said fluid. Melting heat shifting phenomenon incorporated at the surface of the elongating cylinder. Mathematical formulation is supported by boundary layer assumption. Suitable similarity transformations diminishes model of nonlinear partial differential equations into a model of nonlinear ordinary differential equations that ultimately solved via numerical technique named Finite Element Technique. The properties of numerous effective variables are graphically displayed and examined. Further the physical quantities like velocity gradient, heat and mass fluxes are tabulated numerically and analyzed. The dimensionless temperature distribution rises for rising values of curvature parameter and Brownian motion parameter however an opposite behavior is observed for melting parameter and Prandtl number. Moreover, a reduction occurs in heat and mass fluxes for sufficiently high values of curvature parameter.

Study on Nanofluid Boundary Layer Flow Over A Stretching Surface by Spectral Collocation Method

The method of Spectral collocation is used to analyze the flowing Nano fluid layer in contact with a stretching surface for comprehensive information and thus to have its utility in industrial activities like the production of glass fibers, petroleum refining, hot rolling of metals, metal spinning etc. The spectral collocation model incorporates thermophoresis and Brownian motion phenomena to describe the fluid flow, fluid concentration and temperature profiles. A similarity solution has been presented for the governing equations of fluid momentum, concentration and temperature. The computational results are the function of Prandtl number (Pr), Lewis number (Le), thermophoresis and Brownian motion phenomena. The engineering quantities like thermophoresis parameter (Nt), Brownian motion parameter (Nb), buoyancy-ratio parameter (Nr) and reduced Nusselt number (Nu) and reduced Sherwood number (Sh) have tabulated corresponding to Prandtl number (Pr) and Lewis number (Le). The results of the current study thrown light on fluid velocity and heat transfer rates in the boundary layer. The numerous industrial products and manufacturing processes of superior quality can be exercised with the current studies.

Thermal and solutal slips impact on 3D-biconvection flow of linearly stratified Casson nanofluid (magnesium-blood) passed over a bi-stretching surface in a rotating frame

Casson nanofluid have gained significant attention in recent years due to their unique rheological; properties and potential applications in science and technology such as heat transfer enhancement, biomedical applications, microfluidics, oil and gas industry, and electronics. This study examines the gyrotactic bioconvection flow of Casson nanofluid across a bidirectional linear stretching sheet with the effects of inclined magnetic field. We examine the impact of velocity, temperature, solute, and microorganism slip on the flow of Casson nanoliquid over a bi-directional linear stretching sheet. Blood is considered as base liquid while magnesium nanoparticles are suspended in base liquid to make homogenous mixture of nanofluid. Also, Brownian and thermophoresis phenomena are taken in the model. Thermal, solutal and microorganism’s stratifications are taken along with thermal and solutal slip conditions. The nonlinear partial differential equations are transformed into ordinary differential equations utilizing the proper similarity transformations. The solution of the flow model is acquired through Homotopic analysis method. Graphical discussions are provided for the effects of various embedded parameters include in fluid model. Some well-known findings have been identified as specific examples of the current investigation. Graphs are used to show how physical factors affect the nanofluid flow. It can be seen that when the magnetic factor, volume fraction parameter, and mixed convection parameter increase, the fluid velocities decreases. On the other hand, the buoyancy ratio factor and Rayleigh number cause to enhance the velocity outline. Temperature outline improves with the enhancement of volume fraction parameter and thermal slip factor. Concentration outline decelerates with the accelerating estimations of solutal slip and stratification parameters. Peclet number reduces the microorganism’s profile.

Analysis of a Ferromagnetic Nanofluid Saturating a Porous Medium with Nield’s Boundary Conditions

This research delves into the intricacies of a two-dimensional, steady flow of a ferrofluid within a porous medium, where the thermal conductivity is subject to temperature variations. The study encompasses the influence of magnetic dipoles, radiation, Brownian motion, and thermophoresis phenomena as they interact with a stretching sheet. A novel aspect of this investigation is the detailed analysis of Brownian and thermophoresis effects on nanoparticles while considering Nield’s boundary conditions. The study involves the transformation of flow equations into ordinary differential equations through standard similarity transformations, unraveling the governing equations using the BVP4C method. The outcomes are presented graphically, providing a comprehensive assessment of the factors impacting the fluid properties, including velocity, temperature, and concentration. Notably, this study reveals that an increase in the ferrofluid parameter leads to elevated temperature profiles while causing a decrease in velocity. Furthermore, an increase in the viscosity parameter is associated with a reduction in velocity. Some technological applications of the problem include magnetically controlled actuation and drug targeting.

Peristaltic transport of radiative and dissipative MHD third order nanofluid through the vertical asymmetric channel with heat and mass convection

: The fundamental purpose of the present study is to provide a novel framework for investigating the peristaltic flow through a vertical asymmetric channel filled with a magnetic third order nanofluid model saturated in a porous medium under the influence of varying electrical conductivity. The essential characteristics of Brownian and thermophoresis phenomena are additionally included in the modelling of the heat equation, in besides joule heating, viscous dissipation, heat generation/absorption, and nonlinear thermal radiation. Furthermore, the effects of double diffusion convection are examined, with a small Reynolds number along with extended wavelength examples that reflect biological scientific assumptions are used. The software Mathematica's built-in command ND Solve is implemented to solve the derived nonlinear ordinary differential equations system numerically. One of the most significant phenomena concerning peristaltic motion, known as the trapping phenomenon, has also been spotlighted using contour plots and circulating bolus. The key discoveries showed that the size of the trapping bolus tends to decrease while the density of trapping bolus increases with an enhancement in the temperature- and concentration-dependent electrical conductivity coefficient. Further, for all areas under consideration, the rate of heat and mass transmission is enhanced due to an augmentation in the coefficient of temperature-dependent electrical conductivity.

Microrotating chemically reactive hybrid nanomaterial in a high porous medium influenced by Cattaneo-Christov double diffusion and non-linear slip

ABSTRACT A simultaneous heat and mass transfer due to microrotating Darcy-Forchheimer flow of hybrid nanofluid over a moving thin needle is investigated. Darcy-Forchheimer medium accommodating hybrid nanofluid flow yields greater heat transfer rate, thereby leading to greater mass transfer rate over thin needle in industrial applications such as blood flow problems, aerodynamics, transportation, coating of wires, lubrication, and geothermal power generation. The thermophoresis and Brownian motion phenomena are introduced to enrich thermal treatment. Heat and mass transfer are accompanied by Cattaneo-Christov heat and mass flux. The hybrid nanofluid is radiative and dissipative in nature. Arrhenius pre-exponential factor law is introduced. Entropy generation analysis is carried out. The 4th order Runge-Kutta method along with shooting technique is devised to get requisite numerical solution of the transformed non-dimensional system of equations. Darcy-Forchheimer effect to simultaneous heat and mass transfer of microrotating hybrid nanofluid flow over thin needle subject to non-linear slip is the novelty of present study which is beyond of previous investigations. Rise in Forchheimer number (strengthening Darcy Forchheimer medium) leads to surface viscous drag decreases by 11.11% for hybrid nanofluid and 10.78% for pure nanofluid indicating the control of momentum transfer, thereby regulating heat transfer rate effectively.

Illustration of Convective Boundary Conditions on the Darcy–Forchheimer Flow of Nanofluid with the Impact of Chemical Reaction

The application of convective heat transport holds great significance in physiological studies, particularly in preventing the overheating of birds and mammals living in warm climates. This process involves the transfer of heated blood from the body’s core to the nearest blood vessels, effectively dissipating the excess heat into the environment. As a result, analyzing convective boundary conditions becomes crucial for understanding heat and solutal profiles in the flow of a two-phase nanofluid model (Darcy–Forchheimer), which also takes into account heat sources and chemical reactions. This model encompasses the combined effects of Brownian and thermophoresis phenomena on flow behavior. The development of a three-dimensional model leads to a set of nonlinear ODEs, which can be tackled using appropriate similarity variables and traditional numerical techniques, i.e., the Runge–Kutta fourth-order combined with shooting technique is adopted to obtain the solutions. To ensure the model’s accuracy, physical parameters are carefully chosen within their appropriate ranges to reflect real-world behavior. This approach helps to capture the physical essence of the system under study. It is observed that the streamlines for the proposed stream function shows the flow pattern of the fluid particles within the domain for the variation of the kinematic viscosity and stream values, and enhanced Brownian motion controls the fluid concentration.

Cubic Chemical Autocatalysis and Oblique Magneto Dipole Effectiveness on Cross Nanofluid Flow via a Symmetric Stretchable Wedge

Exploration related to chemical processes in nanomaterial flows contains astonishing features. Nanoparticles have unique physical and chemical properties, so they are continuously used in almost every field of nanotechnology and nanoscience. The motive behind this article is to investigate the Cross nanofluid model along with its chemical processes via auto catalysts, inclined magnetic field phenomena, heat generation, Brownian movement, and thermophoresis phenomena over a symmetric shrinking (stretching) wedge. The transport of heat via nonuniform heat sources/sinks, the impact of thermophoretic diffusion, and Brownian motion are considered. The Buongiorno nanofluid model is used to investigate the impact of nanofluids on fluid flow. Modeled PDEs are transformed into ODEs by utilizing similarity variables and handling dimensionless ODEs numerically with the adoption of MATLAB’s developed bvp4c technique. This software performs a finite difference method that uses the collocation method with a three-stage LobattoIIIA strategy. Obtained outcomes are strictly for the case of a symmetric wedge. The velocity field lessens due to amplification in the magneto field variable. Fluid temperature is amplified through the enhancement of Brownian diffusion and the concentration field improves under magnification in a homogeneous reaction effect.

Study of thermophoresis and Brownian motion phenomena in radial stagnation flow over a twisting cylinder

This article deals with the analysis of nanofluid flow and its thermal energy transport in the stagnation region, impinged radially on a rotating circular cylinder with magnetohydrodynamic (MHD) effect. The swirling flow is driven by the rotational motion of a circular cylinder along the z -direction. A two-phase nanofluid model, namely the Buongiorno model is utilized to determine the thermal characteristics of nanoparticles, which highlights the influence of Brownian diffusion and thermophoresis on temperature and concentration distributions. Numerical outcomes are computed by applying the built-in program bvp5c in MATLAB. The focus of this manuscript is to determine the numerical interpretations of wall stresses with their asymptotic behavior, Nusselt number, and Sherwood number against relevant parameters. The axial and azimuthal wall stress parameters are obtained as a function of twist rate at various values of Reynolds number. Furthermore, the asymptotic behavior for small Reynolds number is compared with their corresponding numerical solutions. The comparison of our result as a special case for non-electrically conducting flow is found in exact agreement with the ones in the literature. It is noticed that wall stresses are greatly affected due to an increment in Reynolds number. The thermal and mass transport phenomena is reduced due to increment in the twisting rate of the cylinder. However, the momentum of the system is inclined, and consequently, an increase in the axial and azimuthal velocities is observed. Moreover, the numerical values of heat and mass transfer rates deteriorate because of thermophoresis; however, owing to the Brownian diffusion, the former declines, and the latter progress significantly.

Peristaltic pumping of Boron Nitride-Ethylene Glycol nanofluid through a complex wavy micro-channel under the effect of induced magnetic field and double diffusive

The main objective of this work is to present a comprehensive study that scrutinize the influence of DD convection and induced magnetic field on peristaltic pumping of Boron Nitride—Ethylene Glycol nanofluid flow through a vertical complex irregular microchannel. Experimental study showed that the nanofluid created by suspending Boron Nitride particles in a combination of Ethylene Glycol exhibited non-Newtonian characteristics. Further, the Carreau's fluid model provides accurate predictions about the rheological properties of BN-EG nanofluid. In order to imitate complicated peristaltic wave propagation conditions, sophisticated waveforms are forced at the walls. The essential properties of Brownian motion and thermophoresis phenomena are also included in simulating of heat equation as well as viscous dissipation. Mathematical simulation is performed by utilizing the lubrication approach. The resulting nonlinear coupled differential equation system is solved numerically using the built-in command (ND Solve function) in the Mathematica program. Numerical and pictorial evidence is used to illustrate the importance of various physiological features of flow quantities. The major findings demonstrated that the thermal resistance is observed to rise as the Soret and Dufour numbers increase, while the dissolvent concentration and nanoparticles volume fraction have the opposite effect.

Significance of Buongiorno’s model on viscoelastic MHD flow over a heated lubricated surface subject to Joule heating

Lubrication theory has attained attention lately due to its practical applications, such as the formation of thin films, adhesives, and lubrication of components of machines. Jeffrey’s nanofluid flow over the stagnation region past a power-law lubricated surface is presented in this study. Buongiorno’s model is employed to scrutinize the effects of thermophoresis and Brownian motion phenomena with constant wall and prescribed surface temperature (PST) and effects of heat source/sink, chemical reaction, and Joule heating. Due to the continuity of shear stress of fluid-lubricant and velocity at the interface, interfacial conditions are generated. By similarity conversions, ordinary differential equations are obtained and their solutions are computed numerically. For power-law index equaling [Formula: see text], local similarity solutions are calculated by adopting a finite difference scheme, viz. bvp4c in MATLAB. The energy profiles for constant and prescribed temperatures are monitored. The effects of pertinent parameters on the flow, thermal, and mass distributions are scrutinized and illustrated in graphs. Flow field decreases significantly by raising slip parameter as the aptitude of power-law lubricant to improve the velocity of the bulk fluid. The numerical comparison of wall stress and Nusselt number is also presented. The slip and Jeffrey’s material parameters raise the numerical outcomes of the wall shear stress. In addition, increment in Prandtl number enhances the numerical value of the Nusselt number; however, it reduces for relaxation-to-retardation times ratio.

Bioconvective chemically reactive entropy optimized Cross-nano-material conveying oxytactic microorganisms over a flexible cylinder with Lorentz force and Arrhenius kinetics

In this research study, an entropy assessment in the bioconvective Darcy–Forchheimer (DF) stream of MHD Cross nanofluid carrying oxytactic microbes past a flexible cylinder with velocity slip, Arrhenius kinetics, and chemical reaction is predicted. The Buongiorno model is used to expose random movement and thermophoresis phenomena. The simulated model equations are transmuted to coupled highly nonlinear ODEs by employing a suitable similarity transition and boundary-layer approximation. The resultant ODEs are tackled numerically using the RKF45 with the shooting approach via NDSolve in Mathematica software with specific ranges of parameters like 0.1≤We,λ,Gt,Gc,Rb,Ω,Ec≤0.4, 0.1≤M2,E,Pe≤2, 0.01≤γ≤0.2, π/5≤α≤π/2, 0.1≤S1,S2,S3,Kp≤0.7, 0≤Fr≤3, 0.01≤Nt,Nb≤0.4, 0≤K≤0.9, 0.1≤Lb,Sc≤0.5 and 0.2≤Pr≤3. The outcomes show that the velocity field slows down due to an elevation in the porosity parameter and Forchheimer number. The thermal, solutal and microbial profiles decline due to their respective stratification parameters. Furthermore, activation energy encourages the Sherwood number, but it is dropped significantly as the chemical reaction progresses. It is also worth noting that the porosity parameter and Forchheimer number promote entropy production rate, while an opposing attribute is assessed for higher activation energy.

Buongiorno model analysis on Carreau fluid flow in a microchannel with Non-linear thermal radiation impact and irreversibility

ABSTRACT The main focus of the current work is to explore the thermal energy and mass transfer process in conducting non-Newtonian fluid flows through a horizontal microchannel along with irreversibility analysis and to investigate the upshot of nonlinear radiation, convective boundary conditions, and magnetic field. Slip regime and temperature jump conditions are used at the boundaries of the microchannel. The rheological characteristics of the Carreau fluid model are also considered. The Buongiorno model was used in this study, which emphasizes the light on Brownian motion and thermophoresis phenomena that occur during the fluid flow. Runge-Kutta Fehlberg’s fourth-fifth order was used to solve governing equations numerically. The significant influence of effective parameters on entropy generation, Bejan number, velocity, temperature and concentration profile have been discussed with the aid of graphs. Entropy generation rises by 40% at the left wall of the channel and is depleted by 36% at the right wall when the thermophoresis parameter augments by 200%. Amplified concentration profile with an escalation of Brownian parameter. The temperature field diminishes with inflation of the radiation parameter.

Eyring-Powell nano liquid flow through permeable elongated sheet conveying inclined magnetic field subject to constructive chemical reaction and multiple slip effects

ABSTRACT The present study examines the multiple slip effects and constructive chemical reaction on Eyring-Powell nanoliquid through a permeable elongated sheet on an inclined magnetic field. The energy balance equation includes Heat and Joule dissipation terms. The renowned Buongiorno nanofluid model is employed extensively to explore the thermophoresis and Brownian motion phenomena. The primary partial differential equations (PDEs) of governing flow phenomena are remodeled to non-linear ordinary differential equations (ODEs) by adopting proper similarity invariants. Runge-Kutta 4th order quadrature employing shooting technique is utilized to transform boundary value problem to initial value problem to seek numerical results via graphs and tables on physically interesting parameters. Current outcomes are validated through the comparison with previously published studies. An applied magnetic field slows down the fluid and raises both thermal and solutal boundary layers. It is significant to notice that the thermal boundary layer rises, as the Brownian and Thermophoresis are amplified.

Numerical study of Casson-Nanofluid flow past an exponentially stretching sheet filled by porous medium in presence of velocity and thermal slip effects

An inquiry of the non-Newtonian Casson flow of nanofluid through a non-linear exponentially expanding sheet is one of the things that will be covered in the course of this work. When a magnetic field, chemical reaction, thermophoresis, and Brownian motion phenomena are present, the influence of coupled velocity and thermal slip conditions on porous embedded fluid flow is investigated. These phenomena include Brownian motion. In particular, the flow of fluid through porous embedded structures is studied in the presence of a magnetic field. Because the mechanics of fluid motion are extremely sequential and non-linear, fluid dynamics may be described as having these characteristics. In order to acquire an approximate answer, what has been done here is to combine the Runge-Kutta method with a numerical approach that makes use of the shooting technique and a shooting scheme. This has been done in order to get an approximation. The degree to which the thermo-fluid parameters are susceptible to change is shown by both the tabular and graphical representations of the data. When the new findings are contrasted with the findings of the earlier study, there may be found to be a high degree of congruence between the two sets of findings.

Characterization of fluid flow and heat transfer of a periodic magnetohydrodynamics nano non‐Newtonian liquid with Arrhenius activation energy and nonlinear radiation

AbstractThe focus of this study is to better understand the boundary layer phenomena of nonlinear radiative nano non‐Newtonian (Casson) fluid flow caused by a stretched periphery with a periodic magnetic field and Arrhenius activation energy. The time‐based controlling equations are translated into a suitable dimensionless form using the explicit finite difference (EFD) approach. However, to make the solution convergent, detailed stability and convergence criteria have been devised. In addition, the oscillatory form of velocity, isothermal, and streamline profiles, as well as the conventional shape of other flow fields are displayed. Using tabular analysis, a correlation between non‐Newtonian and Newtonian fluids has even been demonstrated. When the radiative heat flux is evaluated in a linear pattern rather than a nonlinear one, the Lorentz force has been demonstrated to diminish the flow profiles convincingly. Also, another finding is that when the magnetic factor is considered in the sinusoidal form it is controlling the heat transfer factors of nanofluid substantially. As a chemical reaction requires a high‐temperature mechanism to proceed, the scientific principles of activation energy are evaluated in the inclusion of thermal radiation of nonlinear patterns, and the mass transmission is severely influenced. However, in the presence of nonlinear radiation, the Brownian motion of the Casson fluid particles, as well as the thermophoresis phenomena has effectively elevated the temperature field rather than the linear one. The current study has implications for prostate cancer treatment. Nanoparticles have been used to treat cancer, and magnetic fields have been used to regulate the drug emission of the particles.