Values Of Velocity Slip Parameter Research Articles

Stefan flow of nanofluid and heat transport over a plate in company of Thompson and Troian slip and uniform shear flow

The aim of this article is to present the combined influences of Stefan blowing and Thompson and Troian slip on forced convection motion of nanoliquid past a non absorbent plate in attendance with the first order compound response. Two-phase model for nanoliquid has been used in the present analysis. By means of proper alterations the principal PDEs (partial differential equations) have been condensed to ODEs (ordinary differential equations) and for these nonlinear equations the numerical solutions are acquired. Our data for some meticulous cases are contrasted with the reachable outcomes from available literature and established a fine compliance. The outcomes of this investigation have important impact on the characteristics for flow, heat and mass transport. With the augmentation of Stefan blowing parameter, fluid velocity diminishes. Temperature diminishes with the rising values of velocity slip parameter. For advanced values of Brownian motion parameter and Lewis, speed of mass transport reduces. The outcomes of this examination provide many appealing features that merit further study of the problem.

MHD Mixed Convective Slip Flow along an Inclined Porous Plate in Presence of Viscous Dissipation and Thermal Radiation

The present study investigates the mixed convective MHD flow of Newtonian fluid along an inclined permeable plate which is saturated in porous medium. A non-uniform magnetic field along with viscous dissipation and thermal radiation is also considered in the model. Velocity and thermal slip conditions are applied at the plate. Expressions for skin friction and Nusselt number are obtained with the help of suitable similarity transformation. Governing equations are solved numerically by Runge-Kutta fourth order method with shooting technique. Graphs of the fluid velocity and temperature are plotted and their behaviours are discussed. Numerical values of skin friction and Nusselt number are tabulated and analysed.
 HIGHLIGHTS
 
 Rate of heat transfer can be enhanced by decreasing Eckert number or radiation parameter
 Higher fluid velocity with lesser skin friction can be obtained by using larger values of velocity slip parameter
 Mixed convection plays a significant role in enhancing fluid velocity
 
 GRAPHICAL ABSTRACT

Thermal and Entropy generation analysis of magnetohydrodynamic tangent hyperbolic slip flow towards a stretching sheet

This article examined the effects of boundary layer flow and heat transport of a two-dimensional incompressible magnetohydrodynamic tangent hyperbolic fluid under slip boundary conditions and variable thermal conductivity. The entropy generation model is also analysed for the said fluid. Non-similarity transformations transformed the governing equations of the fluid and entropy generation model into dimensionless form. Maple software is used to solve the transformed equations numerically. Effects of different dimensionless parameters on entropy generation rate, Bejan number, velocity and temperature fields are studied thoroughly through graphs. It is observed that for higher values of velocity slip parameter and power-law index, the entropy generation rate decreases while the Bejan number increases. Also, for the Hartmann number, Weissenberg number and Brinkman number, we found an increase in the entropy generation rate, and reverse behaviour is observed for the Bejan number. Nusselt number, temperature profile and Bejan’s number increase with an increase in variable thermal conductivity.

Impact of thermophoretic particle deposition on Glauert wall jet slip flow of nanofluid

The heat transfer technology is growing significantly for desired solutions as the need for efficient heating and cooling systems in the aerospace, automotive, and chemical sectors. Bearing this in mind the need for effective cooling/heating systems, the steady, two-dimensional Glauert wall jet flow with thermophoretic particle deposition is investigated in the presence of Al2O3 nanoliquid. The Glauert transformations are used to transform the system of partial differential equations (PDEs) that reflect conservation, continuity, temperature, and concentration, as well as boundary conditions. The fourth fifth order Runge-Kutta-Fehlberg (RKF-45) method along with the shooting approach is used to solve the reduced system of ordinary differential equations (ODEs). The role of physical quantities for the parameters in concern are visually depicted and described in depth. Results reveal that, rise in values of velocity slip parameter upsurges the velocity profile away from the wall and declines near the surface. The increase in radiation parameter inclines the heat transfer. The growing values of both radiation parameter and volume fraction advances the heat transfer rate. The growing values of thermophoretic parameter improves the mass transfer rate.

Slip flow of hybrid nanofluid in presence of solar radiation

A theoretical model on MHD hybrid nanofluid flow in accordance with non-uniform heat flux and solar energy radiation has been studied in our work. Also, the impact of multiple slip conditions is presumed at the boundary. Comparative flow analyses for hybrid nanofluid (Al2O3/Cu–H2O) and single nanoparticle-based nanofluid (Cu–H2O) are addressed here with graphs and charts. The leading partial differential equations with boundary conditions have been converted into ordinary differential equations with the aid of similarity transformation. The final system is tackled via the fifth-order Runge–Kutta–Felberg method with shooting procedure and the computation is done using Maple 17. One of the interesting results shows that with the growth of thermal radiation, the Nusselt number for Cu–H2O is reduced by 26.16%, whereas for the same, Nusselt number for Al2O3/Cu–H2O is lessened by 27.38%. Fallout shows that with the growing values of velocity slip parameter, the thermal boundary layer thickness enlarges faster for Al2O3/Cu–H2O in comparison to Cu–H2O.

HEAT TRANSFER AND SLIP CONSEQUENCES ON PERISTALTIC TRANSPORT OF A CASSON FLUID IN AN AXISYMMETRIC POROUS TUBE

The present study investigates the effects of heat transfer on a Casson fluid flow through a porous axisymmetric tube in the presence of slip effects. The long wavelength and small Reynolds number approximation is used to obtain the closed form solutions. The numerical integration is employed to obtain pressure rise and frictional force. A parametric analysis has been presented to study the effects of Darcy number, velocity slip, yield stress, Prandtl number, Eckert number, and thermal slip on pressure rise, pressure gradient, frictional force, and temperature. The study reveals that the reduction in pressure rise is observed for an increase in the value of porous parameter and an increase in the value of velocity slip parameter enhances the pressure rise in the porous tube. The obtained results are found to be in good agreement with the available literature

Numerical Scrutinization of Three Dimensional Casson-Carreau Nano Fluid Flow

This study presents the computational analysis of three dimensional Casson and Carreau nanofluid flow concerning the convective conditions. To do so, the flow equations are modified to nonlinear system of ODEs after using appropriate self-similarity functions. The solution for the modified system is evaluated by numerical techniques. The results show the impacts of involving variables on flow characteristics and the outcomes of the friction factors are evaluated as well. In this study, the outcomes to local Nusselt number and Sherwood numbers are evaluated. Favourable comparison is performed with previously available outcomes. The achieved results are similar to solutions obtained by other researchers. The results are presented for flow characteristics in the case of Casson and Carreau fluids. Velocities are reduced for the growing values of permeability and velocity slip parameters in case of Casson and Carreau nanofluids. Temperature field enhances with the hike in the estimations of thermophoresis parameter and the thermal Biot number in case of Casson and Carreau nanofluids. Enhancing values of velocity slip parameter results in decrease in the skin friction coefficients and the rate of heat transfer, and rise in the rate of mass transfer in case of Casson and Carreau nanofluids.

Theoretical analysis of cross-nanofluid flow with nonlinear radiation and magnetohydrodynamics

In this article, the characteristics of physical model steady axisymmetric flow of cross-fluid over a stretching sheet are explored numerically. Furthermore, steady flow of nanofluid is expressed by means of Buongiorno’s model for nanoparticles. Moreover, the features of thermal radiation and chemical reaction processes with partial velocity slip condition are adopted here. Nonlinear PDEs are converted to ODEs using suitable transformation variables. The reduced systems of ODEs are resolved using an effective bvp4c scheme implemented. Numerical computation for physical parameters such as skin friction, Nusselt and Sherwood numbers are also examined. Magnetic field plays a vital role in controlling the flow of fluid and has the tendency to enhance the thermal boundary layer and concentration. Similarly, skin friction, Nusselt and Sherwood numbers depreciate by improving the values of velocity slip parameter, magnetic parameter, magnetic parameter, thermophoresis parameter in shear thickening fluids.

Entropy generation and thermo-diffusion effects on unsteady chemically reactive slip flow between two rotating disks

PurposeThe purpose of this study is to analyze the Entropy generation analysis and heat transport in three-dimensional flow between two stretchable disks. Joule heating and heat generation/absorption are incorporated in the thermal equation. Thermo-diffusion effect is also considered. Flow is conducting for time-dependent applied magnetic field. Induced magnetic field is not taken into consideration. Velocity and thermal slip conditions at both the disks are implemented. The flow problem is modeled by using Navier–Stokes equations with entropy generation rate and Bejan number.Design/methodology/approachVon Karman transformations are used to reduce the nonlinear governing expressions into an ordinary one and then tackled by homotopy analysis method for convergent series solutions. The nonlinear expressions for total entropy generation rate are obtained with appropriate transformations. The impacts of different flow variables on velocity, temperature, entropy generation rate and Bejan number are described graphically. Velocity, temperature and concentration gradients are discussed in the presence of flow variables.FindingsAxial, radial and tangential velocity profiles show decreasing trend for larger values of velocity slip parameters. For a larger Brinkman number, the entropy generation increases, while a decreasing trend is noticed for Bejan number.Originality/valueTo the best of the authors’ knowledge, no such analyses have been reported in the literature.

Effects of Heat Transfer on Peristaltic Transport of a Bingham Fluid through an Inclined Tube with Different Wave Forms

The present study investigates the effects of slip and heat transfer on peristaltic mechanism of Bingham fluid in an inclined tube. The sinusoidal, multi-sinusoidal, triangular, square and trapezoidal wave forms are considered. The analysis has been carried out under the assumptions of long wavelength and small Reynold's number approximations. The closed-form solutions are obtained for velocity, plug flow velocity, pressure gradient, streamlines, and temperature. The numerical integration is employed to investigate the effects of pressure rise and frictional force. The influence of relevant parameters on physiological quantities of interest is analyzed and discussed through graphs. The study reveals that velocity and thermal slip have a decreasing effect on velocity and temperature. Further, it is noticed that the volume of trapped bolus increases for increasing values of velocity slip parameter.

Magneto-Hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Microorganism Concentration and Bioconvection Péclet Number Effects

This study analyzes the effect of slip parameter, microorganism concentration and bioconvection Peclet number on Magneto-hydrodynamics (MHD) bioconvection nanofluid flow over a stretching sheet. Similarity transformation is employed to convert the governing partial differential equations into coupled non-linear ordinary differential equations with appropriate boundary conditions. These equations are solved numerically using fourth order Runge Kutta-Fehlberg integration method along with a shooting technique. The dimensionless velocity, temperature, nanoparticle concentration and density of motile microorganisms were obtained together with the local skin friction, reduced Nusselt, Sherwood and motile microorganism density numbers. It was observed that nanoparticle concentration decreases with increase in the nanoparticle concentration slip but increases as magnetic field parameter increases. Also the velocity of the fluid decreases with increase in both velocity slip parameter ξ and magnetic field parameter M. It is also noticed that the temperature of the flow is continuously decreasing as the value of velocity slip parameter ξ, temperature slip parameter β and concentration slip parameter γ increase. Furthermore, as velocity and nanoparticle concentration slip parameters increase, the Nusselt number was observed to increase while the Sherwood number decreases. The skin friction coefficient also decreases as the values of velocity slip parameter increases. Finally we found that local microorganism transfer rate increases with greater values of bioconvection Lewis number Lb, microorganism concentration Ω and bioconvection Peclet number Pe. Comparisons between the previously published works and the present results reveal excellent agreement.

Wavelets solution of MHD 3-D fluid flow in the presence of slip and thermal radiation effects

This article is devoted to analyze the magnetic field, slip, and thermal radiations effects on generalized three-dimensional flow, heat, and mass transfer in a channel of lower stretching wall. We supposed two various lateral direction rates for the lower stretching surface of the wall while the upper wall of the channel is subjected to constant injection. Moreover, influence of thermal slip on the temperature profile beside the viscous dissipation and Joule heating is also taken into account. The governing set of partial differential equations of the heat transfer and flow are transformed to nonlinear set of ordinary differential equations (ODEs) by using the compatible similarity transformations. The obtained nonlinear ODE set tackled by means of a new wavelet algorithm. The outcomes obtained via modified Chebyshev wavelet method are compared with Runge-Kutta (order-4). The worthy comparison, error, and convergence analysis shows an excellent agreement. Additionally, the graphical representation for various physical parameters including the skin friction coefficient, velocity, the temperature gradient, and the temperature profiles are plotted and discussed. It is observed that for a fixed value of velocity slip parameter a suitable selection of stretching ratio parameter can be helpful in hastening the heat transfer rate and in reducing the viscous drag over the stretching sheet. Finally, the convergence analysis is performed which endorsing that this proposed method is well efficient.

Mass Transfer Flow of MHD Radiative Tangent Hyperbolic Fluid Over a Cylinder: A Numerical Study

The current paper focuses on the numerical solution of MHD flow of tangent hyperbolic fluid towards a stretching cylinder with thermal radiation. The modeled non-dimensional governing flow equations are changed to ordinary differential equations by utilizing the similarity transformations. The resultant system is then solved numerically by adapting the efficient finite difference technique known as Keller-Box scheme. The impacts of certain emerging parameters like power law index, curvature parameter, Weissenberg number, velocity slip parameter, magnetic field parameter, radiation parameter, Prandtl number and Schmidt number on dimensionless velocity, temperature and concentration profiles are examined and discussed in a detailed manner. Also, the physical results for the skin friction coefficient, local Nusselt number, and local Sherwood number are analyzed with the aid of tables. The obtained results in the present study are checked with previously available literature and found good agreement. It is revealed that the velocity declines for higher values of velocity slip parameter. Further, the fluid temperature enhances with escalating values of magnetic field parameter.

Peristalsis of silver-water nanofluid in the presence of Hall and Ohmic heating effects: Applications in drug delivery

This study examines the peristaltic transport of silver-water nanofluid in the presence of constant applied magnetic field. Ohmic heating and Hall effects are also taken into account. Present attempt includes the velocity and thermal slip effects. Mathematical modeling is carried out employing the lubrication approach. The resulting system of equations is numerically solved. Effects of sundry parameters on the quantities of interest are studied through graphs. Results show that addition of 5% silver nanoparticles reduces the velocity of base fluid (water in this case) by almost 10% and its temperature by 16%. Further presence of Hall effects lessens the changes brought by an applied magnetic field in the state of nanofluid. Maximum velocity of nanofluid decreases with an increase in the value of velocity slip parameter whereas maximum temperature enhances by increasing the thermal slip parameter. It is hoped that the presented analysis is of considerable importance in the modern drug delivery systems in biomedical engineering.

Magnetohydrodynamic (MHD) mixed convection slip flow and heat transfer over a vertical porous plate

The effects of velocity slip and thermal slip on MHD boundary layer mixed convection flow and heat transfer of an incompressible fluid past a plate in presence of suction/blowing are presented. Using similarity transformations the governing partial differential equations are reduced to ordinary differential equations and the nonlinear equations are then solved numerically with the help of shooting method. The present analysis reveals that by reducing the boundary layer thickness, the increasing velocity slip parameter makes the fluid velocity to increase whereas non-dimensional temperature decreases for increasing values of velocity slip parameter. The rate of heat transfer decreases with the increasing values of thermal slip. With increasing values of suction (blowing) parameter the surface temperature decreases (increases).