Dimensionless Temperature Profiles Research Articles

Thermal investigation into the Oldroyd-B hybrid nanofluid with the slip and Newtonian heating effect: Atangana–Baleanu fractional simulation

The significance of thermal conductivity, convection, and heat transportation of hybrid nanofluids (HNFs) based on different nanoparticles has enhanced an integral part in numerous industrial and natural processes. In this article, a fractionalized Oldroyd-B HNF along with other significant effects, such as Newtonian heating, constant concentration, and the wall slip condition on temperature close to an infinitely vertical flat plate, is examined. Aluminum oxide (Al2O3) and ferro-ferric oxide (Fe3O4) are the supposed nanoparticles, and water (H2O) and sodium alginate (C6H9NaO7) serve as the base fluids. For generalized memory effects, an innovative fractional model is developed based on the recently proposed Atangana–Baleanu time-fractional (AB) derivative through generalized Fourier and Fick’s law. This Laplace transform technique is used to solve the fractional governing equations of dimensionless temperature, velocity, and concentration profiles. The physical effects of diverse flow parameters are discussed and exhibited graphically by Mathcad software. We have considered 0.15≤α≤0.85,2≤Pr⁡≤9,5≤Gr≤20,0.2≤ϕ1,ϕ2≤0.8,3.5≤Gm≤8, 0.1≤ Sc ≤0.8, and 0.3≤λ1,λ2≤1.7. Moreover, for validation of our present results, some limiting models, such as classical Maxwell and Newtonian fluid models, are recovered from the fractional Oldroyd-B fluid model. Furthermore, comparing the results between Oldroyd-B, Maxwell, and viscous fluid models for both classical and fractional cases, Stehfest and Tzou numerical methods are also employed to secure the validity of our solutions. Moreover, it is visualized that for a short time, temperature and momentum profiles are decayed for larger values of α, and this effect is reversed for a long time. Furthermore, the energy and velocity profiles are higher for water-based HNFs than those for the sodium alginate-based HNF.

Influence of chemical reaction and variable mass diffusivity on non-Newtonian fluid flow due to a rough stretching sheet with magnetic field and Cattaneo-Christov fluxes

A non-Newtonian Williamson fluid flow due to a stretching sheet with radiation, magnetic field, and viscous dissipation effects is described using variable conductivity and variable diffusivity. The Cattaneo-Christov model is used to correctly compute the physical properties of a heat and mass flux model. Both the chemical reaction phenomenon and the slip velocity have an impact on the heat and mass mechanism. The physical problem is represented mathematically as a nonlinear coupled differential system. After that, the shooting method is used to solve the mathematical model numerically. To gain a better understanding of the behavior of governing emergent factors on dimensionless velocity, concentration, and temperature profiles, physical interpretations are created and discussed utilizing graphical and tabular representations. The results show that the Sherwood number and the Nusselt number are both decreased by the magnetic, viscosity, and slip velocity parameters. Also, according to the findings it has been observed that the concentration outlines enhances for the magnetic number, the viscosity parameter, and the slip velocity parameter, but they dwindle for expanding reaction rate values. Finally, after confirmation of our numerical results, the theoretical results show good agreement with previously published work.

Thermal performance of a longitudinal fin under the influence of magnetic field using Sumudu transform method with pade approximant (STM‐PA)

AbstractTemperature distribution, and efficiency of a rectangular profiled longitudinal fin are examined in this investigation with the impact of the magnetic field. By exploiting appropriate non‐dimensional terms, the heat transfer equation incorporating temperature‐dependent thermal conductivity, heat transfer coefficient, and Maxwell expression for the effect of the magnetic field yield a dimensionless nonlinear ordinary differential equation (ODE) with corresponding boundary conditions (BCs). Sumudu transform method with Pade approximant (STM‐PA) has been employed to obtain an analytical solution for the temperature profile of a longitudinal rectangular fin subjected to a uniform magnetic field under multi‐boiling heat transfer. The STM‐PA results are compared to the Runge‐Kutta Fehlberg's fourth‐fifth (RKF‐45) order technique for computational verification and are observed to be in good accordance. The behavior of dimensionless temperature profile has been explicated graphically for diverse values of non‐dimensional parameters such as thermal conductivity parameter, Hartmann number, and thermogeometric parameter. The results of this study show that as the thermal conductivity parameter enriches, the temperature profile of the longitudinal fin improves, whereas it declines for the Hartmann number and thermogeometric parameter. Under multi‐boiling heat transference, fin efficiency varies significantly depending on the impact of pertinent variables.

Numerical Investigation of MWCNT and SWCNT Fluid Flow along with the Activation Energy Effects over Quartic Auto Catalytic Endothermic and Exothermic Chemical Reactions

A mathematical model is created to analyze the impact of Thompson and Troian slip boundaries over a contracting/expanding surface sustaining nanofluid-containing carbon nanotubes along a stagnation point flow. Both multi-wall (MWCNTs) and single-wall (SWCNTs) carbon nanotubes are taken into consideration, with water serving as the base liquid. The flow is obtained due to the stretching or contracting of the surface. The thermal radiation, activation energy, buoyancy impacts, and chemical processes called quartic autocatalysis are additionally added to the original mathematical model. The MATLAB-constructed bvp4c function involving the three-stage Lobatto IIIa formula for the numerical results of dimensionless velocity, concentration, and temperature profiles are used. By contrasting it against a published paper in this limited instance, it is determined whether the suggested mathematical model is legitimate. In this sense, a remarkable consensus is achieved. Graphical representations are used to depict the behavior of many non-dimensional flow variables, such as the slip velocity parameter, the inertia coefficient, the porosity parameter, and the solid volume fraction. Surface drag force computations are reported to examine the effects at the permeable stretching surface. It has been shown that increasing the slip velocity factor increases the fluid streaming velocity while decreasing the surface drag force. If the endothermic/exothermic coefficient increases, the local thermal transfer efficiency falls. For nanofluids, the changing viscosity factor increases axial velocity while decreasing temperature distribution. Additionally, the solid volumetric fraction improves the temperature distributions by lowering the concentration profile and speed.

Modeling and analytical analysis of dual diffusive Williamson nanoliquid considering generalized heat-mass concepts

The primary objective of this investigation is to explore the Cattaneo–Christov flux models impact on Williamson nanofluid over a stretching surface. Buongiorno’s model featuring diffusions (Brownian and thermophoretic) is opted for nonlinear analysis. Buoyancy-driven nonlinear convection flow in stagnation region is modeled. Surface is permeable and transpiration effects are considered. Energy expression captures heat source/sink aspects. The nondimensional differential systems are tackled analytically via homotopy analysis method (HAM). The profiles of dimensionless temperature, concentration and skin friction are examined graphically for the attributes of multiple physical parameters. It is revealed that the heat transfer elevates with the increment of thermophoresis, heat source and Brownian motion parameters while it dwindles with the improvement of thermal relaxation parameter. The mass transfer strengthens with the enlargement of thermophoresis parameter while diminishing with the enhancement of solutal relaxation and Brownian motion parameters. The skin friction is elevated for higher values of material variable against nonlinear mixed convection parameter.

Heat and mass transfer of MHD Jeffrey nanofluid flow through a porous media past an inclined plate with chemical reaction, radiation, and Soret effects

AbstractThis paper investigates the heat and mass transfer of an unsteady, magnetohydrodynamic incompressible water‐based nanofluid (Cu and TiO2) flow over a stretching sheet in a transverse magnetic field with thermal radiation Soret effects in the presence of heat source and chemical reaction. The governing differential equations are transformed into a set of nonlinear ordinary differential equations and solved using a regular perturbation technique with appropriate boundary conditions for various physical parameters. The effects of different physical parameters on the dimensionless velocity, temperature, and concentration profiles are depicted graphically and analyzed in detail. Finally, numerical values of the physical quantities, such as the local skin‐friction coefficient, the Nusselt number, and the Sherwood number, are presented in tabular form. It is concluded that the resultant velocity reduces with increasing Jeffrey parameter and magnetic field parameter. Results describe that the velocity and temperature diminish with enhancing the thermal radiation. Both velocity and concentration are enhanced with increases of the Soret parameter. Also, it is noticed that the solutal boundary layer thickness decreases with an increase in chemical reaction parameters. This is because chemical molecular diffusivity reduces for higher values of chemical reaction parameter. Also, water‐based TiO2 nanofluids possess higher velocity than water‐based Cu nanofluids. Comparisons with previously published work performed and the results are found to be in excellent agreement. This fluid flow model has several industrial applications in the field of chemical, polymer, medical science, and so forth.

Numerical investigation of the non-Newtonian power-law fluid with convective boundary conditions in a non-Darcy porous medium

The boundary layer nanofluid flow over a horizontal plate embedded in a non-Darcy porous medium is investigated in this study. Non-Newtonian power-law fluid is considered the base fluid. The nanofluid model incorporated the effects of Brownian motion and thermophoresis. A mixed convective boundary condition that is more useful, in practice, is employed at the surface instead of Dirichlet or Neumann boundary conditions. The flow and convective heat transfer has engineering and industrial applications such as the thermal design of industrial equipment dealing with molten plastics and polymeric liquids and applications in nuclear plants and thermal energy storage processes. The main aim of this study is to use the spectral quasi-linearization method to study the effects of non-Newtonian nanofluid flow over a horizontal surface for a porous medium. The objective is to explore both the accuracy and the convergence of the method through the evaluation of residual errors and error norms and to investigate the impact of specific parameters on flow behavior and heat transfer characteristics. The velocity profile increases for higher values of the power law index and mixed convection parameter. The influence of the number of active variables on dimensionless temperature profiles increases for different values of the Biot number.

Magneto Chemically Reacting Micropolar Nanofluid Flow in Existence of Heat Source/Sink

The purpose of the current study is to focus on magneto hydrodynamic micropolar nanofluid flow together with heat source/sink towards a linearly stretching sheet that has been investigated numerically. The whole analysis has been carried out considering the influence of the Brownian motion and thermophoresis in existence of a chemical reaction of order one between base fluid and nanoparticles. A similarity transformation technique has been imposed to convert non-linear leading system of partial differential equations toward system of ordinary ones and then they are solved with the help of Runge-Kutta-Fehlberg method with shooting procedure. The physical traits of the problem like dimensionless temperature profiles, concentration profiles, and rate of heat and mass transfers are demonstrated using tabular and graphical outlines.

Impact of Buoyancy and Stagnation-Point Flow of Water Conveying Ag-MgO Hybrid Nanoparticles in a Vertical Contracting/Expanding Riga Wedge

Riga surface can be utilized to reduce the pressure drag and the friction of the submarine by stopping the separation of the boundary layer as well as by moderating turbulence production. Therefore, the current symmetry of the work investigates the slip impacts on mixed convection flow containing water-based hybrid Ag-MgO nanoparticles over a vertical expanding/contracting Riga wedge. In this analysis, a flat surface, wedge, and stagnation point are also discussed. A Riga surface is an actuator that contains electromagnetic where a span-wise array associated with the permanent magnets and irregular electrodes accumulated on a smooth surface. A Lorentz force is incorporated parallel to the surface produced by this array which eases exponentially normal to the surface. Based on the considered flow symmetry, the physical scenario is initially modeled in the appearance of partial differential equations which are then rehabilitated into a system of ordinary differential equations by utilizing the pertinent similarity variables. A bvp4c solver is engaged to acquire the numerical solution. The flow symmetry and the influences of pertaining parameters involved in the problem are investigated and are enclosed in graphical form. The findings confirm that the velocity reduces, and temperature enhances due to nanoparticle volume fraction. A modified Hartmann number increases the velocity and diminishes the temperature. Moreover, the suction parameter enhances the velocity profiles and reduces the dimensionless temperature profiles. The heat transfer gradually increases by diminishing the contracting parameter and increasing the expanding parameter.

A comprehensive mathematical structuring of magnetically effected Sutterby fluid flow immersed in dually stratified medium under boundary layer approximations over a linearly stretched surface

On the implication of tension force, viscoelastic materials deform in accordance with viscous and elastic characterization. Dilute polymer solutions portray the examples of viscoelastic liquids and Sutterby model successfully represent it due to high degree polymerization distributions. In addition, polymer aqueous solutions behave as shear thinning and thickening liquids in response to infinite shear stress so Sutterby fluid is considered as best model to depict the features of liquids at high stress magnitude. Diverse utilities of diluted polymeric solutions are encountered in industrial, biological and technological practices, for instance, agricultural sprayers, cleansing products, clay coaters, polymerized melts and many more. So, this research communicates theoretical and computational thermal assessment of Sutterby fluid containing radiation aspects over a linearly moving sheet embedded in stratified medium which exposes the novelty of work. Moreover, the impacts of magnetic field and chemical reactions are also obliged. So, the principal objective pertains to adumbrate flow behavior of Sutterby liquid in the attendance of aforementioned physical parameters. Mathematical formulation in view of governing relations are changed into non-dimensionalized form through transformation approach. Convergent and accurate solution is accessed through renowned numerical shooting procedure along with integrated Runge-Kutta scheme. The computed results of emerged parameters on velocity, concentration and thermal fields are revealed by means of snapshots. Magnitude of associated wall drag coefficient and reduced heat and mass fluxes are explained in graphical and tabular formats. The salient outcomes are as follows. Consequence of the proposed research investigation infers that augmenting power index momentum distribution decays whereas skin friction uplifts. Furthermore, it is inferred that concentration distribution amplifies against upsurging magnitude of solutal stratification parameter while opposite nature is noticed in case of temperature profile against associated stratification parameter. Additionally, it is concluded that escalating magnitude of radiation parameter tends to elevates the dimensionless temperature profile. Subsequently, rise in concentration profile against Schmidt number is observed whereas against Prandtl number temperature of fluid expressing declining aptitude. Also, declining response in momentum of fluid is manifested against Reynold and Deborah numbers.

The role of dual-phase-lag (DPL) heat conduction model on transient free convection flow in a vertical channel

This work investigates the role of dual-phase-lag (DPL) heat conduction model on transient free convection flow of an incompressible viscous fluid in a vertical channel. The semi-analytical solutions for temperature, velocity, and skin-friction in a dimensionless form are presented in Laplace domain using the Laplace transform technique, while the Laplace expression are inverted back to the time domain, using Riemann sum approximation (RSA). The effects of dimensionless time, Prandtl number, thermal relaxation time, and thermal retardation time on dimensionless temperature and velocity profiles are graphically demonstrated. The numerical values for variation of dimensionless temperature, velocity, and skin-friction for pertinent flow parameters are computed and presented in tabular form. It is found that the increase in dimensionless time leads to an increase in both temperature and velocity, while decrease in thermal relaxation time and retardation time account for the increase in temperature and velocity. Also, the temperature is higher when thermal relaxation time precedes the thermal retardation time for air (Pr=0.71). However, the temperature is highly recorded when thermal retardation time precedes the thermal relaxation time for water (Pr=7.0).

The Effect of Thermophoresis on MHD Stream of a Micropolar Liquid Through a Porous Medium with Variable Heat and Mass Flux and Thermal Radiation

In this paper, the combined possessions of thermal radiation and thermophoresis on stable Magnetohydrodynamic free convection stream of a micropolar liquid past an erect porous laminate during a porous medium in the occurrence of variable heat and mass fluxes are engaged into report is measured. The leading non-linear partial differential equations of the crisis are changed into a scheme of nonlinear ordinary differential equations during suitable similarity conversion and Runge–Kutta Fourth order with shooting procedure scheme. The possessions of a variety of substantial parameters on the dimensionless stream, microrotation, temperature, and concentration profiles are discussed and offered graphically. In the end, numerical ideals of the substantial quantities, such as the limited skin factor, the combine stress coefficient, the local Nusselt quantity and the local Sherwood quantity are tabulated with the variant of magnetic constraint, coupling invariable, Darcy constraint, modified Forchheimer number, radiation constraint, and thermophoretic constraints.

The Effect of Thermophoresis on MHD Stream of a Micropolar Liquid Through a Porous Medium with Variable Heat and Mass Flux and Thermal Radiation

In this paper, the combined possessions of thermal radiation and thermophoresis on stable Magnetohydrodynamic free convection stream of a micropolar liquid past an erect porous laminate during a porous medium in the occurrence of variable heat and mass fluxes are engaged into report is measured. The leading non-linear partial differential equations of the crisis are changed into a scheme of nonlinear ordinary differential equations during suitable similarity conversion and Runge–Kutta Fourth order with shooting procedure scheme. The possessions of a variety of substantial parameters on the dimensionless stream, microrotation, temperature, and concentration profiles are discussed and offered graphically. In the end, numerical ideals of the substantial quantities, such as the limited skin factor, the combine stress coefficient, the local Nusselt quantity and the local Sherwood quantity are tabulated with the variant of magnetic constraint, coupling invariable, Darcy constraint, modified Forchheimer number, radiation constraint, and thermophoretic constraints.

Thermally developed electrokinetic bi-layer flows of Newtonian and non-Newtonian fluids in a microchannel

In the present study, thermofluidic characteristics of a combined pressure-driven and electrical field mediated thermally fully developed flow of an immiscible Newtonian and a viscoelastic fluid bi-layer in a microchannel have been analyzed. The simplified Phan-Thien–Tanner model with a linear kernel for the stress coefficient function has been utilized to describe the complex fluid rheology for the non-Newtonian fluid. Disparate zeta potentials have been assumed at the interfaces. Accordingly, distinct zeta potential values have been used at the channel walls and interfaces between the fluids to derive the closed-form analytical expressions for the pertinent velocity, stress, and shear viscosity distributions in the fluid layers. For thermally developed flows, the temperature and entropy distributions are obtained along the microchannel for constant wall heat flux boundary conditions. Major findings from our research show that amplification of the viscoelastic parameter designated by the Weissenberg number exhibits an enhancement in the non-dimensional axial velocity, flow rate, and stress magnitudes. Furthermore, the present study indicates that Joule heating and viscous dissipation significantly vary the dimensionless temperature profiles along the fluid bi-layer. The Nusselt number values are found to decrease with the augmentation of the viscoelasticity, Joule heating, and viscous dissipation parameters. The total entropy generation for the fluid layer systems increases with the increasing Joule heating parameter.

Newtonian Heating Effect on Heat Absorbing Unsteady MHD Radiating and Chemically Reacting Free Convection Flow Past an Oscillating Vertical Porous Plate

In this article, we have discussed in detail the effect of Newtonian heating on MHD unsteady free convection boundary layer flow past an oscillating vertical porous plate embedded in a porous medium with thermal radiation, chemical reaction and heat absorption. The governing PDEs of the model together with related initial and boundary conditions have been solved numerically by the finite element method. The dimensionless velocity, temperature and concentration profiles are analyzed graphically due to the effects of key parameters in the concerned model problem. Computed results for the skin friction coefficient, Nusselt number and Sherwood number are put in tabular form. It is observed that the thermal and mass buoyancy effects support the velocity whilst a reverse effect is noticed when the strength of the magnetic field is increased. The velocity and temperature enhances with an increase in the Newtonian heating and thermal radiation whilst a reverse effect is observed with an increase in the Prandtl number and heat absorption parameter. Increasing Schmidt number and chemical reaction parameter tends to depreciate both velocity and concentration. The Newtonian heating, thermal radiation and magnetic field tends to decrease in the skin friction. The Nusselt number increases with increasing Newtonian heating and heat absorption parameters. An increase in the Schmidt number and chemical reaction rate tends to improve the Sherwood number.

RETRACTED: Thermal analysis of an annular fin under multi-boiling heat transfer coefficient using differential transform method with Pade approximant (DTM-Pade)

The convective heat transfer between the object and surrounding environment can be improved by increasing the surface area. This can be done by mounting an annular/radial fin to a cylindrical surface and thus enormous heat is transferred by the annular fin. Motivated by this fact, the temperature distribution and thermal stresses of an annular fin with internal heat generation under multi-boiling heat transfer are examined using the differential transform method (DTM)-Pade approximant. The governing equation and corresponding boundary conditions are transformed into a highly nonlinear ordinary differential equation (ODE) by introducing suitable non-dimensional terms. The resultant transformed ODE is solved analytically using DTM-Pade approximant. The results achieved from DTM-Pade and Runge-Kutta Fehlberg fourth-fifth (RKF-45) technique are compared for numerical validation and are found to be close to each other. The performance of the fin and aspects of dimensionless temperature profile has been elucidated graphically with the impact of dimensionless parameters. Furthermore, the results of this scrutiny manifest that the temperature profile of the fin increases with the impact of thermal conductivity parameter and heat generation parameter whereas it decreases for thermo-geometric parameter. Fin efficiency varies significantly with the impact of prescribed parameters under multi boiling heat transfer cases. The radial and tangential stress distribution are more in the case of radiation heat transfer compared to other cases.

Multiple slip, Soret and Dufour effects in fluid flow near a vertical stretching sheet in the presence of magnetic nanoparticles

This paper presents a mathematical analysis of multiple slip, Soret and Dufour effects in a boundary layer flow of an electrically conducting nanofluid over a vertically stretching sheet. The flow situation has been described mathematically by using partial differential equations. Suitable transformations are utilized to make the model equation convenient for computation. An efficient optimal homotopy analysis method has been implemented successfully to obtain analytic approximations to the unknown functions in the flow problem. The influences of wall slip parameters, porosity of the medium, Buoyancy forces, magnetic field, thermal radiation, Soret and Dufour effects, heat source and chemical reaction parameters are examined in detail. The variations of the dimensionless velocity, temperature and concentration profiles in relation to the emerging parameters are explored intensively. The rates of momentum, heat and mass transfer near the stretching surface are also studied against the pertinent parameters. The study reveals that the increase in velocity slip parameter speeds up the fluid motion and increasing the Soret effect raises concentration of nanoparticles near the stretching sheet. Further, the analytic approximations for the solutions of the present model obtained by implementing the optimal homotopy analysis method are found in a very good agreement with some early works under common assumptions.

Heat Transfer Analysis of Micro Polar Fluid with AL2O3 and CuO Hybrid Nanofluid Over a Plate with and Without Out Viscous Dissipation

Abstract: This work analysis investigated with the boundary layer stream and heat transfer aspects of a micropolar nanofluid over a porous shrinking sheet with thermal radiation. The boundary layer equations governed by the partial differential equations are transformed in to a set of ordinary differential equations with the help of suitable local similarity transformations. The coupled nonlinear ordinary differential equations are solved by the commercial MATLAB code bvp4c.The solutions of dimensionless velocity ,velocity gradient and temperature profiles are analyzed by the effect of various controlling flow parameters nonlinear parameter ,material property and Eckert number. and temperature and Prandtl number. Physical quantities such as skin frication coefficient, local heat, computed. Keywords: Viscous effects .flat plate, Nanofluid, hybrid nanofluid, micro polar fluid , local Nusselt number, skin friction, micro rotation

Bioconvection Unsteady Magnetized Flow in a Horizontal Channel with Dufour and Soret Effects

In the current decade, bioconvection phenomenon has received a lot of attention in research because of its applications in the biological polymer synthesis, biosensors and biotechnology, pharmaceutical industry, microbial enhanced oil recovery, environmentally friendly applications, and continuous refinements in mathematical modeling. Therefore, this article is prepared to address the unsteady mixed bioconvection in electrically conducting fluid flow between two infinite parallel plates with magnetic field and first-order chemical reaction impacts. Furthermore, the heat and mass transfer study has taken Dufour and Soret effects into account. The nonlinear coupled systems representing the continuity, momentum, energy, mass diffusion, and microorganisms’ equations are renewed into an ordinary differential equation (ODE) by employing the similarity renovation. The renovated ODEs are interpreted by the Homotopy Analysis Method (HAM). Impacts of the different emerging parameters, namely, magnetic field parameter ( M ), heat generation parameter ( Q ), Dufour number ( D u ), Soret number ( S r ), Schmidt number ( S c ), chemical reaction parameter ( K 0 ), Prandtl number ( P r ), squeezing parameter ( β ), Peclet number ( P e ), and Lewis number ( L e ) on the dimensionless velocity, temperature, concentration, and microorganism profiles as well as the frictional drag, Nusselt number, Sherwood number, and microorganisms mass flux are presented. The main outcomes of this investigation are that the velocity profile rises as the squeezing parameter is increased, and clear enhancement is noticed in the temperature profile for augmented estimations of chemical reaction, heat generation/absorption, and Dufour parameters. There is a significant downward trend in the concentration profile and microorganism density for elevated values of Dufour and Soret parameters.

Dissipative Williamson fluid flow with double diffusive Cattaneo-Christov model due to a slippery stretching sheet embedded in a porous medium

<abstract><p>A numerical analysis of the incompressible two-dimensional flow of a non-Newtonian Williamson fluid is offered by expanding the sheet embedded in a porous medium and combining it with the Cattaneo-Christov model. Additionally, it is considered that the thermal conductivity and fluid viscosity both change as a linear function of temperature and an exponential function, respectively. The velocity, temperature and concentration field are all affected by thermal radiation, viscous dissipation, fluid variable properties, chemical reactions, and the slip velocity phenomenon. When the appropriate variables are employed, a system of non-linear, non-dimensional parameters emerges. The shooting method is used to numerically address this system. To better comprehend the impact of dimensionless parameters on dimensionless velocity, concentration, and temperature profiles, physical descriptions are prepared and justified using graphical representations. The values of the local skin-friction coefficient, the rate of heat transfer, and the rate of mass transfer are also investigated using tables. The behavior of changing fluid properties, on the other hand, establishes the link between Williamson fluid flow and the rate of heat mass transfer. According to the results, increasing the slip velocity and viscosity factors lowers both the Nusselt number and the Sherwood number. Also, due to an increase in Deborah number and the chemical reaction parameter, the temperature profiles decrease.</p></abstract>