C.S.K. Raju

Heat and Mass Transfer in MHD Eyring-Powell Nanofluid Flow due to Cone in Porous Medium

In this paper, we analyzed the thermophoresis and Brownian motion effects on the boundary layer flow of a magnetohydrodynamic Eyring-Powell nanofluid over a permeable cone in the presence of buoyancy forces and suction/injection effects. The governing partial differential equations are transformed into set of non-linear coupled ordinary differential equations by using self-suitable transformations, which are then solved numerically using Runge-Kutta fourth order along with shooting technique. The obtained results present the effects of various non-dimensional governing parameters on velocity, temperature and concentration profiles. Also, enumerated and analyzed the friction factor, local Nusselt and Sherwood numbers. We presented dual solutions for suction and injection cases and found an excellent agreement of the present results with the existed studies under some special limited cases. Result indicates that dual solutions are available only for particular range of suction or injection parameter and Eyring-Powell parameter have tendency to enhance the heat transfer rate.

Chemically Reacting Radiative MHD Jeffrey Nanofluid Flow over a Cone in Porous Medium

The objective of this paper is to analyze the influence of thermal radiation and chemical reaction on the boundary layer flow of a magnetohydrodynamic Jeffrey nanofluid over a permeable cone in the presence of thermophoresis, Brownian motion effects. The set of non-linear governing partial differential equations are transformed into set of non-linear coupled ordinary differential equations by using self-suitable transformations, which are then solved numerically using Runge-Kutta fourth order along with shooting technique. The obtained results present the effects of various non-dimensional governing parameters on velocity, temperature and concentration profiles. Also, enumerated and analyzed the friction factor, local Nusselt and Sherwood numbers. We presented dual solutions in the presence and absence of the magneticfield and found an excellent agreement of the present results with the existed studies under some special limited cases. Result indicates that an increase in the buoyancy parameter increases the heat and mass transfer rate in the presence and absence of the transverse magneticfield and dual solutions exists only for certain range of magneticfield parameter.

Dual Solutions for Unsteady Heat and Mass Transfer in Bio-Convection Flow towards a Rotating Cone/Plate in a Rotating Fluid

A mathematical model has been proposed for analyzing the momentum, heat and mass transfer in Bio-convection flow towards a rotating cone/plate in a rotating fluid with nonlinear thermal radiation and chemical reaction. In this study we considered gyrotactic microorganism’s contained Williamson fluid. Numerical results are carried out by using Runge-Kutta based shooting technique. The effects of dimensionless governing parameters on the flow, heat and mass transfer are illustrated graphically. It is also computed the friction factors for the tangential and azimuthal directions, local Nusselt and Sherwood numbers along with the local density of the motile organisms. It has been observed a good agreement of the present results with the existed literature. The obtained results indicate that the heat and mass transfer rate is significantly increases for higher values of buoyancy parameter and Biot number. It is also found that the heat and mass transfer performance in Bio-convection flow is significantly high on the flow over a rotating plate while compared with the rotating cone.

Effect of Nonlinear Thermal Radiation on 3D Jeffrey Fluid Flow in the Presence of Homogeneous–Heterogeneous Reactions

In this study, we analyzed the effects of nonlinear thermal radiation on three-dimensional flow of Jeffrey fluid past a stretching/shrinking surface in the presence of homogeneous-heterogeneous reactions, non-uniform heat source/sink and suction/injection. The transformed governing equations are solved numerically using Runge-Kutta based shooting technique. We obtained good accuracy of the present results by comparing with the exited literature. The influence of dimensionless parameters on velocity, temperature and concentration profiles along with the friction factors, local Nusselt and Sherwood numbers are discussed with the help of graphs and tables. We presented dual solutions for the flow over a stretching and shrinking surfaces and found that dual solutions exist only for certain range of stretching/shrinking parameter. It is also found that the heat and mass transfer rate on the flow over a stretching surface is high while compared with the flow over a shrinking surface.

Effect of Convective Boundary Condition on MHD Carreau Dusty Fluid over a Stretching Sheet with Heat Source

The underlying intention of the present study is to analyze the steady incompressible magneto hydrodynamic Carreau Dusty fluid over a stretching sheet with exponentially decaying heat source. Convective conditions are considered to control the thermal boundary layer. Similarity transformations were used to convert partial differential equations (PDEs) to a system of nonlinear ordinary differential equations (NODEs) which are solved numerically by employing Runge-Kutta with Newton’s technique. The effect of pertinent parameters on velocity and temperature profiles of both fluid and dust phase within the boundary layer has been studied by considering various values of controlling parameters. In addition, skin friction coefficient and reduced heat transfer coefficient have been examined for various values of the governing parameters. It is observed that the rate of heat transfer depreciates with space dependent heat generation and enhanced with the existing convective condition.

Heat and Mass Transfer in 3D Non-Newtonian Nano and Ferro Fluids over a Bidirectional Stretching Surface

An analysis has been carried out for three-dimensional flow of magneto hydrodynamic Sisko ferro and nanofluids over a bidirectional stretching surface in porous medium with non-uniform heat source/sink. The set of nonlinear governing partial differential equations are transformed in to ordinary differential equations by using self-suitable transformations, and solved numerically using Runge-Kutta and Newton’s methods. The acquired results presents the effects of various non-dimensional governing parameters on velocity and temperature profiles. Also, determined and analyzed the friction factor coefficients and local Nusselt number. We have presented dual solutions for Sisko ferro and nanofluid cases. An excellent agreement of the present results has been found with existed literature under some special limited cases. Results depict that the material parameter have tendency to boost the friction factor coefficients along with the heat transfer rate. It is also observed that the heat transfer performance of Sisko nanofluid is high while compared with the heat transfer performance of the Sisko ferro fluid.

The Flow of Radiated Carreau Dusty Fluid over Exponentially Stretching Sheet with Partial Slip at the Wall

In this study, we addressed the impact of magnetic field on fluid flow and heat transfer of an in compressible Carreau fluid over exponentially stretching sheet in addition with fluid and dust particle suspension. Thermal radiation and non-uniform heat source/sink were included to develop heat transport phenomena. Dusty fluids have various applications such as processing of material, nuclear heat treatment, cooling process, treatment of waste water etc. The relevant governing equations are converted into ordinary differential equation using similarity transformation the transformed ordinary differential equations are then solved numerically by shooting technique along with Runge-Kutta method The effect of certain parameters on the dimensionless velocity and temperature are presented graphically. The physical quantities of the flow such as the friction factor and Local Nusselt number were calculated. It was found from the study that the velocity slip parameter increases the temperature profiles.

Effects of Cattaneo-Christov Heat Flux on Casson Nanofluid Flow Past a Stretching Cylinder

In this paper, we investigate the combined effects of Brownian motion, thermophoresis and Cattaneo-Christov heat flux on Casson nanofluid boundary layer flow over a stretching cylinder. The governing partial differential equations (PDEs) are obtained and transformed into a system of ordinary differential equations (ODEs) by employing appropriate similarity solution. The model nonlinear boundary value problem is tackled numerically using fourth-fifth order Runge-Kutta integration scheme with shooting technique. Effects of various thermophysical parameters on the velocity, temperature and concentration profiles as well as skin friction and Sherwood number are presented graphically and discussed quantitatively. It is found that thermal relaxation parameter minimizes the temperature field and boosting the rate of heat transfer per unit volume. This heat flux conditions are very useful for thermal transport control in manufacturing and chemical industries.

Cattaneo -Christov heat flux model for magnetohydrodynamic flow in a suspension of dust particles towards a stretching sheet

Abstract In the present paper, the flow of an incompressible, electrically conducting dusty fluid over a stretching sheet is considered. The Cattaneo- Christov heat flux theory is employed to control the thermal boundary layer. The flow equations are transformed into nonlinear ordinary differential equations (NODEs) and which are solved with help of Runge-Kutta 4th order method. Flow equations are examined with respect to boundary conditions namely prescribed wall temperature (PWT) and prescribed heat flux (PHF) cases. In general PWT and PHF boundary conditions are very useful in the industrial as well as manufacturing up and down processes. Impact of the emerging parameters on the dimensionless velocity and temperature as well as friction coefficient and local Nusselt number are examined. We also validated my results with already available literature. It is found that the heat transfer rate of the flow in PWT case is higher than that of PHF case. These results can help us to conclude that for higher heating processes (Heating industries) PWT case and lesser heating processes (Cooling industries) PHF boundary condition is useful.

Radiative and Viscous Ohmic Dissipation on MHD Tangent Hyperbolic Fluid over a Convectively Heated Sheet in a Suspension of Dust Particles

The present study deals with steady incompressible magneto hydrodynamic hyperbolic tangent fluid flow induced by a convectively heated stretching surface with the suspension of dust particles, Darcy-Forchheimer, thermal radiation, viscous dissipation and Ohmic heating. Similarity transformations were used to convert partial differential equations (PDEs) to a system of nonlinear ordinary differential equations (NODEs) which are solved numerically by Runge-Kutta Fehlberg method. The effect of pertinent parameters on velocity and temperature profiles of both fluid and dust phase within the boundary layer has been studied by considering various values of controlling parameters. Additionally, the skin friction coefficient and reduced heat transfer coefficient have been examined for various values of the governing parameters. It is found that Hartmann number and Forchheimer parameter reduce friction factor and heat transfer rates.