Second order slip flow and heat transfer due to shrinking sheet: An analytical Solution

This paper considers the study of viscous flow and heat transfer over a shrinking sheet considering the effect of second order slip. The governing partial differential equations of the flow and heat transfer are transferred into nonlinear ordinary differential equations by using suitable similarity transformation. The exponential form of solution for momentum is assumed and governing heat transfer equation is solved analytically by power series method in terms of Kummer’s Hypergeometric function. The effects of various physical parameters on flow and heat transfer are investigated with graphical illustrations. Keywords: Shrinking sheet, Second Order Slip, Kummer’s Function, Mass suctio

Heat Transfer of MHD Flow of Casson Fluid due to Stretching Sheet with PST and PHF Heating Conditions

Here we have considered the two-dimensional flow of non-Newtonian MHD flow of  Casson fluid, Using Nevier Stoke’s Equations of Motion we have derived the momentum and energy equstions of Casson fluid, these governing equations of motion and temperature are non-linear partial differential equations which are tedious to solve as they are, hence these partial differential equations are converted into Ordinary differential equations using suitable similarity transformations. These ODE’s are solved numerically and we have analyzed various effects of various governing parameters on flow and heat transfer profiles. The numerical Values of Wall temperature and Wall temperature Profiles are tabulated and discussed in detail. Keywords: Convective Heat transfer, Non-Newtonian fluid, BVP, IVP, Numerical Solutio

Flow and Heat Transfer due to an a Shrinking Sheet with Second Order Slip

This paper considers the study of viscous flow and heat transfer over a shrinking sheet considering the effect of second order slip. The governing partial differential equations of the flow and heat transfer are transferred into nonlinear ordinary differential equations by using suitable similarity transformation. The exponential form of solution for momentum is assumed and governing heat transfer equation is solved analytically by power series method in terms of Kummer’s Hypergeometric function. The effects of various physical parameters on flow and heat transfer are investigated with graphical illustrations. Keywords: Shrinking sheet, Second Order Slip, Kummer’s Function, Mass suctio

Applications of Homotopy Analysis Method in Science and Engineering Research Problems

In this Paper we have discussed Homotopy Analysis Method (Homotopy perturbation method) with an example of boundary problems (Blasius Flow), which is having more importance in research of science and engineering. Keywords: Perturbation method, Homotopy analysis Method, Boundary value Problems, Non-Linear equation

Convective Heat Transfer Analysis of Non-Newtonian Fluid due to a Linear Stretching Sheet

In this Present paper a two dimensional boundary layer flow and heat transfer of a non-Newtonian fluid due to stretching sheet with convective boundary condition is considered. The flow of non-Newtonian Casson fluid and the heat transfer equations are nonlinear partial differential equations with variable coefficients, these PDE’s are transformed into non-linear ordinary differential equations by means of similarity transformations. These BVP’s are converted into IVP’s and are solved numerically using Runge-Kutta Fehlberg method with shooting technique. The effects of various governing parameters on flow, heat transfer are plotted and discussed the obtained results. Keywords: Convective Heat transfer, Non-Newtonian fluid, BVP, IVP, Numerical Solution

Flow and Heat Transfer Analysis of Casson Fluid due to A Stretching Sheet: An Analytical Solution

In this paper, an analysis is carried out to study the flow and heat transfer characteristics of Casson fluid due to stretching sheet. The governing partial differential equations of boundary layer are converted into ordinary differential equations by means of suitable similarity transformations.  The results are obtained by solving the momentum and energy equations of Casson fluid analytically for two heating conditions (PST and PHF). The results are analyzed by plotted graphs and numerical tables of the wall temperature and wall temperature gradient. Keywords: Casson fluid; Fluid flow; Heat Transfer; Prescribed surface temperature, Prescribed wall heat flux; Wall temperature, Wall temperature gradien

Flow and Heat Transfer of Casson Fluid due to Stretching Sheet with Convective Boundary Condition: An Analytical Solution

In this Present paper an analytical solution is derived for a two dimensional boundary layer flow and heat transfer of a Casson fluid due to stretching sheet with convective boundary condition. Using closed form of analytical solution of the flow of non-Newtonian Casson fluid, the heat transfer equation is second order nonlinear differential equation with variable coefficients is solved analytically using confluent hypergeometrical series (Power Series) in terms of Kummer’s function. The effects of various governing parameters on flow, heat transfer and wall temperature gradient are plotted and discussed. Keywords: Casson fluid; flow analysis; Heat Transfer; Biot number, Hated Plate, Nusselt number

Stagnation Point Flow of Non-Newtonian Fluid and Heat Transfer over a Stretching/Shrinking Sheet in a Porous Medium

The Study of stagnation Point flow and heat transfer Phenomena is considered in this paper. We used suitable similarity transformation to reduce governing partial differential equations into ordinary differential equations. These equation are non-linear differential equations which are solved numerically using Runge Kutta Fourth order method with efficient  shooting technique .The flow and temperature behaviour are analysed through graphs .The numerical values  of skin friction  coefficient and Local Nusselt are calculated, tabulated   and discussed. Keywords: Casson Fluid, Stagnation point flow, Heat transfer, Shrinking/streaching sheet, Skin Friction coefficient, Porous medium

Heat Transfer in MHD Flow over A Stretching Sheet with Velocity and Thermal Slip Condition

The present work is concerned with the effects of surface slip conditions and thermal on an electrically conducting fluid over a non-isothermal stretching surface in the presence of a uniform transverse magnetic field. Similarity transformation is used to transform the partial differential equations describing the problem into a system of nonlinear ordinary differential equations which is solved analytically. The effects of various parameters on the velocity and temperature profiles as well as on the local skin-friction and the local Nusselt number are discussed in detail and displayed through graphs. Keywords: MHD; Heat transfer; Slip conditions, Kumer’s function, Similarity transformation

Free Convection Boundary Layer Flow and Heat Transfer of a Nano Fluid over a Moving Plate with Internal Heat Generation

This paper presents considers the extended Blasius Flow problem and Heat transfer characteristics in Nano fluid with internal heat generation by considering free stream parallel to a moving plat plate which has much practical significance. The total transport model employed here includes the effect of Blasius motion and internal heat generation in energy transfer. It is also assumed that the plate moves in same or opposite direction to the free stream. Using the Similarity transformations, the transport equations followed by their Numerical computations. The governing system of highly non-linear ordinary differential equations are solved for three kinds of nanoparticals namely Cooper(Cu), Alumina() and Titania() in the water base fluid with the value of Prandtl Number Pr=6.2 numerically. Initially by the similarity analysis the governing partial differential equations are converted into system of non linear ordinary differential equations. The governing p.d.e’s are converted into system of first order o.d.e’s and are solved numerically using MATLAB ode45 solver. The effect of various Physical parameters encountered in the problem such as solid volume fraction of three types of nano particles on velocity transfer and Energy transfer are analysed and studied by representing through graphs. The results are compared with earlier published results and are well in agreement. Keywords: Nano fluid, moving plate, heat transfer, ode solver, solid volume fractio