Local Sherwood Number Research Articles

Contributions of nonlinear mixed convection for enhancing the thermal efficiency of Eyring-Powell nanoparticles for periodically accelerated bidirectional flow

Due to enhanced thermal aspects, the nanofluids present novel applications in the many engineering phenomenon like thermal extrusion, heat transmitting devices, energy production, nuclear processes, cooling procedure, thermal systems, solar energy, bio-medical processes, etc. This mathematical model proposed the more impressive thermal features of Eyring-Powell nano-material with new impact of nonlinear mixed convection. Additionally, the heat transfer enhancement is claimed by utilizing thermal radiation and magnetic force features. The accelerated flow pattern is observed via three-dimensional periodically moving configuration. The nanofluidic outcomes of Brownian and thermophoretic properties are focused out via Buongiorno’s nanofluid model. Apposite conversions are engaged to acquire dimensionless form of formulated nonlinear problem and then such transmuted equations elucidated analytically via homotopic technique. A complete graphical investigation for diverse influential parameters on velocity change, diffusion phenomenon, and wall shear surfaces is observed. Furthermore, the tables for numerical calculations of local Nusselt and Sherwood numbers are structured and discussed. It is perceived that the effects of material fluid parameter and magnetic parameter on both components of velocity are quite conflicting. The highly improved change in heat transfer is visualized for radiation parameter. Moreover, both temperature and concentration distributions show decreasing tendency for enhancement in fluid parameter.

Numerical framework for unsteady bioconvection flow of third-grade nanofluid over a porous Riga surface with convective Nield approach

The ultra-high significances of thermal radiation, magnetic field and activation energy in thermal enhancement processes allow significant applications in chemical and mechanical engineering, modern technology and various thermal engineering eras. The improvement in energy resources and production became one of the major challenges for researchers and scientists for sustained development in industrial growths. Beside this, the bioconvection assessment in nanomaterials conveys prestigious applications in biotechnology like bio-sensors, enzymes, petroleum industry, bio-fuels and many more. In view of such renewable applications, present exploration discloses unsteady two-dimensional flow of third-grade nanomaterial accommodating gyrotactic microorganisms induced by unsteady stretched Riga sheet in porous medium. The formulated flow problem is further scrutinized by utilizing the chemical reaction, activation energy, thermal radiation and magnetic aspects. The convective Nield constraints are further subjected in the current investigation. Apposite transformations are used to condense the nonlinear developed problem into dimensionless ordinary form. The numerical solution of such similar flow problem is presented via shooting technique. The detailed graphical illustrations of the dimensionless temperature, nanoparticles concentration, velocity and motile microorganisms for physical significance of diverse relevant parameters are deliberated. Furthermore, numerical data of local Sherwood, Nusselt and motile density numbers is designated in tabular form. Study accentuated that velocity increases for higher modified Hartmann and material constants, while the effects of buoyancy ratio and bioconvected Rayleigh numbers are rather opposite. The temperature, microorganism and concentration distributions were enhanced for unsteady parameter. It is also acknowledged that the concentration distribution is enhanced for activating the energy number. Moreover, the microorganism distribution enhances for concentration difference and magneto-porous constants, while bioconvected Lewis and Peclet numbers show conflicting trend.

Thermal radiation and diffusion effects in MHD Williamson and Casson fluid flows past a slendering stretching surface

AbstractThe article is presented to analyze the magnetohydrodynamic Casson and Williamson fluids flow over a stretched surface of variable thickness by including the conditions of thermal radiation, velocity slip, temperature, and concentration slip. The equations governing the flow characteristics are transformed to ordinary differential equations by applying similarity transformations. The solution of the simplified equations is obtained by the numerical bvp5c Matlab package. The behavior for Williamson and Casson fluid cases is explored and discussed with the impact of sundry parameters on the flowing fluid, thermal, and diffusion fields. The profiles under the impact of parameters are depicted through graphs. Also, we evaluated the performance of local Nusselt and Sherwood numbers along with the friction of the wall and are displayed through tables. We found that the temperature and mass transfer distribution is low in Williamson fluid when compared to Casson fluid flow. The computed results indicate that the flow, thermal and concentration boundary layer characteristics of Williamson and Casson fluids are not unique.

Axisymmetric radiative titanium dioxide magnetic nanofluid flow on a stretching cylinder with homogeneous/heterogeneous reactions in Darcy-Forchheimer porous media: Intelligent nanocoating simulation

Modern nanomaterials coating processes feature high temperature environments and complex chemical reactions required for the precise synthesis of bespoke designs. Such flow processes are extremely complex and feature both heat and mass transfer in addition to viscous behaviour. Intelligent nano-coatings exploit magnetic nanoparticles and can be manipulated by external magnetic fields. Mathematical models provide an inexpensive insight into the inherent characteristics of such coating dynamics processes. Motivated by this, in the current work, a novel mathematical model is developed for dual catalytic reactive species diffusion in axisymmetric coating enrobing forced convection boundary layer flow from a linearly axially stretching horizontal cylinder immersed in a homogenous non-Darcy porous medium saturated withmagnetic nanofluid. Homogeneous and heterogeneous reactions, heat source (e.g. laser source) and non-linear radiative transfer are included. The Tiwari-Das nanoscale model is deployed. A Darcy-Forchheimerdrag force formulation is utilized to simulate both bulk porous drag and second order inertial drag of the porous medium fibres. The magnetic nanofluid is an aqueous electroconductive polymer comprising base fluid water and magnetic TiO2 nanoparticles. The TiO2 nanoparticles are one chemically reacting species (A) and a second species (B) is also present (e.g. oxygen) which also reacts chemically. Viscous heating and Ohmic dissipation are also included to produce a more physically realistic thermal analysis. The non-linear conservation equations proposed here with species diffusion (species A and B) are transformed via an appropriate stream function and scaling variables into a set of non-linear united multi-degree ODEs. The rising nonlinear ordinary differential boundary value problem is solved with four-point Gauss-Lobotto formulae in the MATLAB bvp5c routine. Validation is conducted with an Adams-Moulton predictor–corrector numerical scheme (AM2 coded in Unix). The widespread visualization of velocity, temperature, species A concentration, species B concentration, skin friction, local Nusselt number and species A and B local Sherwood numbers is included. For the higher Schmidt number the momentum diffusion rate exceeds the species diffusion rate and this will produce a depression in concentration values. Further, increasing Darcian parameter retards the local Nusselt number magnitudes since higher permeability corresponds to sparsity in the solid fibres, reduction in thermal conduction and a concomitant cooling of the cylinder surface.

Effect of Chemical Reaction towards MHD Marginal Layer Movement of Casson Nanofluid through Porous Media above a Moving Plate with an Adaptable Thickness

In the current workflow and heat exchange of a Casson nanoliquid across a penetrable media above a moving plate with variable thermal conductivity, adaptive thickness and chemical reaction are analyzed. First, the governing nonlinear equations of partial derivative terms with proper extreme conditions are changed into equations of ordinary derivative terms with suitable similarity conversions. Then the resulting equations are worked out using the Keller box method. The effects of various appropriate parameters are analyzed by constructing the visual representations of velocity, thermal, and fluid concentration. The velocity profile increased for shape parameter, and the opposite trend is observed for magnetic, Casson, porosity parameters. Temperature profile increases for magnetic, Casson, Brownian motion parameter, and thermophoresis parameters. Concentration profiles show a decreasing trend for wall thickness, Brownian movement, chemical reaction parameters. Also, skin friction values and calculated and matched with previous literature found in accordance. Also, local parameters Nusselt and Sherwood numbers are calculated and analyzed in detail.

HALL AND ION SLIP EFFECTS ON MHD BIOCONVECTIVE EYRING-POWELL NANOFLUID FLOW PAST A SLIPPERY SHEET UNDER POROUS MEDIUM CONSIDERING JOULE HEATING AND ACTIVATION ENERGY

This article investigates the Hall and ion slip effects on steady, incompressible, and bioconvective three-dimensional flow of Eyring-Powell nanofluid past a convectively heated stretching sheet placed in a uniform porous medium considering viscous dissipation and Joule heating. As per authors' knowledge, no such study is reported yet in the literature. Suitable similarity transformations are used to metamorphose the governing PDEs into a system of ODEs. The obtained nonlinear equations are solved numerically with the help of the bvp4c solver in MATLAB. The behaviors of various flow parameters on velocity, temperature, concentration, and microorganisms concentration fields are explained and exhibited through figures. Also, the variations in coefficients of local skin-friction, Nusselt, Sherwood, and motile numbers for sundry parameters are clarified and presented in the tabular form. Moreover, the acquired results are checked with the previously described results for a particular case of the present problem and a superb correlation is spotted from the comparison. The graphs exhibit that Hall and ion slip effects have the tendency to enhance the flow field. Moreover, there is a hike in the temperature profile due to the viscous dissipation, Joule heating, and thermal radiation phenomena. The local Sherwood number is reduced with respect to chemical reaction and activation energy.

Numerical Study for Magnetohydrodynamic (MHD) Unsteady Maxwell Nanofluid Flow Impinging on Heated Stretching Sheet

The numerous applications of Maxwell Nanofluid Stagnation Point Flow, such as those in production industries, the processing of polymers, compression, power generation, lubrication systems, food manufacturing and air conditioning, among other applications, require further research into the effects of various parameters on flow phenomena. In this paper, a study has been carried out for the heat and mass transfer of Maxwell nanofluid flow over the heated stretching sheet. A mathematical model with constitutive expressions is constructed in partial differential equations (PDEs) through obligatory basic conservation laws. A series of transformations are then used to take the system into an ordinary differential equation (ODE). The boundary conditions (BCs) are also treated similarly for transforming into first-order ordinary differential equations (ODEs). Then these ODEs are computed by using the Shooting Method. The effect of factors on the skin friction coefficient, the local Nusselt number, and the local Sherwood number are explored, and the results are displayed graphically. The obtained results demonstrate that by increasing the values of the Maxwell and slip velocity parameters, velocity deescalates. For investigators tasked with addressing unresolved difficulties in the realm of enclosures used in industry and engineering, we thought this work would serve as a guide.

Effect of Joule Heating and Thermal Radiation of MHD Boundary Layer Oldroyd‐B Nanofluid Flow with Heat Transfer over a Porous Stretching Sheet by Finite Element Method

In this study, an incompressible two‐dimensional Oldroyd‐B nanofluid steady flow past a stretching sheet considering the outcomes of magneto‐hydrodynamics (MHD) and porous medium with magnetic, electrical, and thermal radiation effects is investigated. Using a similarity transformation, the governing equations in the form of partial differential equations (PDEs) are converted into a nonlinear ordinary differential equations (ODEs) system. The acquired system is numerically solved by the finite element method (FEM). The effects of physical parameters like Deborah numbers “β1” and “β2”, Brownian motion “Nb”, thermophoresis parameter “Nt”, Prandtl parameter “Pr”, Lewis number “Le”, thermal conductivity “k”, dynamic viscosity “μ”, magnetic and electric effects as “M” and “E1”, and thermal radiation effect “Rd” on the flow are studied in detail. For higher Nb values, regional Nusselt numbers are increasing in magnitude. The local Sherwood number’s size rises for high Nb numbers.

Computational Insights of Bioconvective Third Grade Nanofluid Flow past a Riga Plate with Triple Stratification and Swimming Microorganisms

The goal of this study is to examine the heat‐mass effects of a third grade nanofluid flow through a triply stratified medium containing nanoparticles and gyrostatic microorganisms swimming in the flow. The heat and mass fluxes are considered as a non‐Fourier model. The governing models are constructed as a partial differential system. Using correct transformations, these systems are converted to an ordinary differential model. Ordinary systems are solved using convergent series solutions. The effects of physical parameters for fluid velocity, fluid temperature, nanoparticle volume percentage, motile microbe density, skin friction coefficients, local Nusselt number, and local Sherwood number are all illustrated in detail. When the values of the bioconvection Lewis number increase, the entropy rate also rises. The porosity parameter and modified Hartmann number show the opposite behaviour in the velocity profile.

On the role of bioconvection and activation energy for time dependent nanofluid slip transpiration due to extending domain in the presence of electric and magnetic fields

A mathematical analysis for slip effects on MHD nanofluid in the presence of electromagnetic field and gyrotactic microorganisms is considered. The influence of activation energy and thermal radiation are also discussed. The transportation of nanofluids provides a feasible option for the enhancement of thermal distribution. A rather new aspect of this work is the diffusion and bioconvection of motile microorganisms. It may avoid possible settling of nano-entities. A system of highly non-linear partial differential equations is transformed into Ordinary differential equations by using suitable similarity transformation. The converted ordinary differential equations are then solved numerically by utilizing the shooting technique is built-in function bvp4c solver on the plate form of commercial software Matlab. The results obtained are verified through acceptable agreement with those of the existing one as a special case. The quantities of interest are observed physically. The characteristics of various emerging parameters on the velocity field, temperature distribution and volumetric concentration of nanoparticles, microorganism concentration as well as skin friction coefficient, the gradient of temperature, local Sherwood number, and density number of motile microorganisms are interpreted and reflected in tabulated and graphical form. It is noticed that velocity decreases with the rising values of M . Also, the temperature rises directly with Nb and Nt . With the growing values of Lb , the microorganism profile does down.

On MHD Flow of Non-newtonian Viscoelastic Fluid over a Stretched Magnetized Surface

The purpose of this research is to investigate heat and mass transport in a magnetohydrodynamic (MHD) flow of a non-Newtonian viscoelastic fluid on a stretched magnetized surface. The investigations involve modelling the governing partial differential equations with respect to the Cartesian coordinate system. The models are then transformed into a set of coupled ordinary differential equations. Numerical and graphical solutions were obtained using similarity analysis. The effect of the magnetized sheet on the flow behavior; local skin friction, Nusselt, and Sherwood numbers, are presented in tables. It was observed that an enhanced thickening of the thermal boundary layer was due to the induced magnetization of the sheet. This leads to a significant decline in the heat transfer rate. Certain significant discoveries reported in this research discloses that the effect of viscous dissipation and the non-uniform heat transmission have momentous impact in controlling the rate of heat transfer in the boundary layer region. Again, from the outcome of the analysis it is seen that, the effect of appreciating the Soret number or lessening the Dufour number tends to decrease the velocity and temperature profiles while enhancing the concentration dissemination. Magnetizing the surface shows similar effects on the local skin friction, Nusselt number, and Sherwood number. It is concluded that magnetized surfaces significantly influence the rate of cooling and hence the quality of the penultimate product.

Effect of suction on the MHD flow in a doubly-stratified micropolar fluid over a shrinking sheet

This paper investigates the influence of suction on the flow, heat and mass transfer characteristics over a permeable shrinking sheet immersed in a doubly stratified micropolar fluid. The model which consists of partial differential equations is converted into a set of nonlinear equations using similarity transformations and then solved using the bvp4c solver. Numerical results obtained are presented graphically for the distributions of velocity, angular velocity, temperature and concentration profiles within the boundary layer for various values of the magnetic parameter and wall mass suction parameter. It is visualized that the enhancement of suction parameter will increase the skin friction, heat transfer rate (local Nusselt number) and Sherwood number. It is also found that as the magnetic parameter increase, there is an increment in the skin friction while opposite results are obtained for the local Nusselt number and Sherwood number.

Investigation of water vapour absorption into wavy falling films by developing a fully coupled interface tracking finite volume method

Steady and unsteady two-phase gas-liquid flows are simulated to investigate the absorption characteristics of LiBr falling film. A fully coupled arbitrary Lagrangian-Eulerian interface tracking (ALE-IT) algorithm is developed to calculate transient interfacial heat and mass transfer. The accuracy of numerical solution assessed through detailed comparisons with previous works. The influence of the solitary and capillary waves are investigated on the interfacial heat and mass transfer and compared with those in a falling film. The local Sherwood number (Sh) is calculated and related to the dynamic structure of the wavy interface. Also, the effects of Reynolds number (Re), Strouhal number (St), and liquid side wall temperature are studied on the absorption rate. It is shown that, cooling the wall temperature increase the absorption rate and the highest heat and mass transfer are estimated across the interface at St =0.03. The dynamic structures of the interface instabilities in terms of solitary and capillary waves play a crucial role on the absorption rate. An absorption enhancement is observed adjacent to the capillary interface waves while the absorbent flux is suppressed with in solitary waves.

MHD stagnation point flow of Fe3O4/Cu/Ag-CH3OH nanofluid along a convectively heated stretching sheet with partial slip and activation energy: Numerical and statistical approach

In this study, we have explored the influences of nonlinear thermal radiation and heat generation on MHD stagnation point flow of methanol (CH3OH)-based nanofluid along a permeable stretching sheet embedded in a porous regime. The impacts of viscous dissipation, velocity slip, convective boundary condition, thermophoresis, activation energy, concentration slip and binary chemical reaction are also taken into account. The nanoparticles considered in the present study are Fe3O4, Cu and Ag. The governing partial differential equations are then transformed into a system of coupled ordinary differential equations by the application of appropriate similarity variables. A shooting technique based on the Runge-Kutta-Fehlberg method is implemented to tackle the dimensionless set of equations. The impacts of various characterizing parameters on nanofluid velocity, temperature and concentration profiles are determined and analyzed via graphs. Moreover, the computed values of the quantities of engineering interest (local skin friction, Nusselt and Sherwood numbers) are presented in tabular form and discussed. The quadratic regression analysis estimation for local surface drag coefficient, local heat and mass transfer rates are also presented through tables. This work may find its significant applications in high temperature and cooling processes, space technology, paints, medicines, conductive coatings, cosmetics, bio-sensors, and to name a few.

Haar wavelet scrutinization of heat and mass transfer features during the convective boundary layer flow of a nanofluid moving over a nonlinearly stretching sheet

In this study, we investigate steady-state convective boundary layer fluid flow of heat and mass transfer features of a nanofluid moving over a nonlinearly stretching sheet in detail. The nanofluid physical model of the problem comprises with effects of thermophoresis and Brownian motion. The mathematical model scrutinizes mass, momentum and heat transfer equations are reduced to ordinary differential equations over infinite domain using suitable similarity variables. Haar wavelet collocation method is used to solve the resulting coupled nonlinear ordinary differential equations with an infinite domain. The obtained results are validated with available numerical findings and the solutions are more efficient which confirm and verify the wavelet method. The impact of several interesting physical aspects viz. thermophoresis parameter, stretching parameter, Brownian motion and Schmidt number on nanoparticle volume fraction and temperature profile curves are graphically demonstrated. The derived quantities of various parameters on the rate of heat and mass transfer are depicted in tabular forms. It predicts that the increase in Brownian motion and thermophoresis parameter reduces the local Nusselt number. The local Sherwood number increases with an increase in the parameters of Brownian motion and thermophoresis. For both temperature and volume fraction profiles decreases due to an increase in the Schmidt number.

Effects of hydromagnetic and chemical reaction over a stagnation point flow of horizontal stretching/shrinking cylinder in Ag-CuO/water hybrid nanofluid

PurposeThis paper aims to explore on stagnation point flow of Ag-CuO/water over a horizontal stretching/shrinking cylinder by adding the effect of chemical reaction, B together with the magnetic field, M.Design/methodology/approachA set of reduced ordinary differential equations from the governing equations of partial differential equations is obtained through similarities requirements. The resulting equations are solved using bvp4c in MATLAB2019a. The impact of various physical parameters such as curvature parameter, , chemical reaction rate, B, magnetic field, M and Schmidt numbers, Sc on shear stress, local heat flux, and mass transfer, also for velocity, , temperature, θ(η) and concentration, ∅(η) profiles have been plotted and briefly discussed. In this work, some vital characteristics such as local skin friction, , local Nusselt number, and local Sherwood number, are chosen for physical and numerical analysis.FindingsThe findings expose that the duality of solutions appears in a shrinking region ( < 0). The value of skin friction, heat transfer rate and mass transfer rate reduction for existing of M, but in contrary result obtain for larger ϒ, B and Sc. Furthermore, the hybrid nanofluid demonstrates better heat transfer compared to nanofluid.Practical implicationsThe hybrid nanofluid has widened its applications such as in electronic cooling, manufacturing, automotive, heat exchanger, solar energy, heat pipes and biomedical, as their efficiency in the heat transfer field is better compared to nanofluid.Originality/valueThe findings on stagnation point flow of Ag-CuO/water over a horizontal stretching/shrinking cylinder with the effect of chemical reaction, B and magnetic field, M is new and the originality is preserved for the benefits of future researchers.

Non-similar aspects of heat generation in bioconvection from flat surface subjected to chemically reactive stagnation point flow of Oldroyd-B fluid

In recent years, utilization of nano-technology in drugs and cancer growth treatment has produced a great deal of temptation in thermal properties of biological nanofluid, for example, blood with nanoparticles suspension. The objective of this research is to discover a MHD naturally bio-convective flow of non-Newtonian bio-nano-fluid containing blood as base fluid with (Al2O3) alumina nanoparticles suspension carrying effect of buoyancy, chemical reaction, moving microorganism and heat generation near stagnation region. The Buongiorno along Tiwari and Das nanofluid model is employed whereas Oldroyd-B model is capitalized for depicting the viscoelastic behavior of blood. The non-similarity transformations are exercised on governing nonlinear partial differential system (PDE’s) to transform them into system of non-dimensional PDE’s. After applying appropriate transformations the local non-similarity method via bvp4c algorithm is adopted to numerically deal with the problem. The significance of parameters such as Grashof numbers, magnetic field, Brownian motion, thermophoresis, Deborah numbers, Prandtl number, Schmidt number, Peclet number, heat generation/absorption number and chemical reaction on velocity, temperature, concentration and density of moving microorganism are computed in the graphical profiles to explain the physical state of problem. Physical quantities i.e. local Nusselt number, local Sherwood number and local microorganism density number are also calculated.

Numerical Study of Thermophoresis on Mass Transfer from Natural Convection Flow over a Vertical Porous Medium with Variable Wall Heat Fluxes

This study investigates heat and mass transfer under natural convection flow along a vertical permeable surface with variable wall heat fluxes through a porous medium. The non-Darcian model is employed for the medium. The effects of suction/blowing, inertia, buoyancy ratio, exponent of heat flux, position parameter, Schmidt number, and thermophoresis are considered. The governing equations of continuity, momentum, energy, and concentration are solved by adopting similarity transformation and Runge–Kutta integration with a shooting technique. Results of interest, such as velocity, temperature, and concentration profiles related to local Nusselt and Sherwood numbers, are obtained for the selected buoyancy ratio at different magnitudes of the thermophoretic effect. The numerical solutions help us to realize the gas diffusion phenomena and control the transport technology.

Numerical study of axisymmetric magneto-gyrotactic bioconvection in non-Fourier tangent hyperbolic nano-functional reactive coating flow of a cylindrical body in porous media

Modern functional nanomaterials coating processes feature an increasing range of intelligent properties including rheology, biological (bio-inspired) modifications, elaborate thermophysical behaviour and complex chemical reactions which are needed for the precise synthesis of bespoke designs. Such manufacturing flow processes are extremely complex and involve both heat and multiple mass transfer (species diffusion) phenomena. Intelligent nano-coatings are particularly attractive since they exploit magnetic nanoparticles which can be manipulated by external magnetic fields. Recently, Boeing Aerospace have explored the use of micro-organisms for intelligent aircraft coatings. Mathematical models provide an excellent analysis for elucidating the response characteristics of such coating dynamics processes. With this motivation, the present analysis is indented to develop a new mathematical model to examine the axisymmetric, magnetohydrodynamic, chemically reactive, gyrotactic bioconvection flow of a tangent hyperbolic nanofluid past a cylinder saturated with Darcy porous medium, as a model of smart-coating enrobing flow. The influence of Cattaneo–Christov heat flux (non-Fourier thermal relaxation parameter), thermophoresis and Brownian motion are taken into consideration. The steady-state, boundary layer, partial differential conservation equations are rendered dimensionless via appropriate transformations, and the subsequent nonlinear, coupled, system of governing equations is numerically solved by employing implicit Keller box method. The impact of various factors such as Hartmann magnetic number, Weissenberg viscoelastic parameter, Prandtl number, non-Fourier thermal relaxation parameter, thermophoresis, Brownian motion, micro-organisms concentration difference variable, chemical reaction, bioconvection Peclet number, Schmidt number and bio-convection Schmidt number on the flow, heat transfer, mass transfer, motile density, local friction factor, local heat transfer rate, local mass transfer rate and local microorganism density number wall gradient is visualized graphically. Validation with earlier studies is included. Further validation with a finite element method (FEM) code (SMART-FEM) is presented. Results reveal that the heat transfer upsurges for amplifying the Weissenberg number and Hartmann magnetic number. Microorganism concentration distribution of the non-Newtonian nanofluid coating diminishes for amplifying the bioconvection Schmidt number and Peclet number. Magnifying the power law index parameter reduces the momentum boundary layer thickness of tangent hyperbolic nanofluid, while there is an acceleration in the fluid flow near the surface of the cylinder. Local Sherwood number rises with higher values of homogenous destructive chemical reaction parameter. The computations provide a solid benchmark for further CFD modelling.

Entropy generation in radiative MHD nanofluid flow past an inclined stretched surface with multiple slips in the presence of Arrhenius activation energy

In this article, a theoretical analysis on entropy generation in MHD nanofluid flow past an inclined stretched surface with multiple slips, binary chemical reaction, nonlinear thermal radiation and Arrhenius activation energy is carried out. In addition, the free-stream is moving with a uniform velocity and the presence of internal heat generation, thermal and solutal buoyancy forces are also taken into consideration. For estimating the radiative heat flux, Rosseland approximation is used. The prevailing governing equations are reformed and expressed in non-dimensional highly nonlinear ODEs with employing some suitable transformations (similarity). A numerical technique named as a shooting technique based on the Runge-Kutta Cash-Karp method is implemented to tackle this dimensionless set of equations. Graphical illustrations are made to understand the behaviors of velocity, temperature, concentration, Bejan number and entropy generation with respect to different controlling parameters. Moreover, the computed values of the quantities of engineering interest (local skin friction, local Nusselt and local Sherwood numbers) are presented with the help of tables and discussed. The numerical results obtained are also validated, under certain minimal conditions, with the results present in the paper, and excellent conformity is observed between the results.