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۱Entropy Generation Analysis for Stagnation Point Flow in a Porous Medium over a Permeable Stretching Surface
اطلاعات انتشار: Journal Of Applied Fluid Mechanics، هشتم،شماره۴، ۲۰۱۵، سال
تعداد صفحات: ۱۳
This paper presents entropy generation analysis for stagnation point flow in a porous medium over a permeable stretching surface with heat generation\absorption and convective boundary condition. We have used Von Karman transformations to transform the governing equations into ordinary differential equations.Thevelocity, temperature and concentration profiles obtained using the Homotopy Analysis Method. The HAM is a valid mathematical tool for most of non–linear problems in science and engineering. Finally we have computed the entropy generation number. The effect of the Prandtl number, Brinkman number, Reynolds number, suction\injection parameter, Biot number, Lewis number, Brownian motion parameter, thermophoresisparameterand constant parameters on velocity, concentration and temperature profiles are analyzed. Moreover the influences of the Reynolds number and Brinkman number on the entropy generation are presented.The entropy generation number increases with increasing the Brinkman and Reynolds number.

۲Dual Solutions for MHD Jeffery–Hamel Nano–Fluid Flow in Non–parallel Walls Using Predictor Homotopy Analysis Method
نویسنده(ها): ، ،
اطلاعات انتشار: Journal Of Applied Fluid Mechanics، هشتم،شماره۴، ۲۰۱۵، سال
تعداد صفحات: ۹
The main purpose of this study is to present dual solutions for the problem of magneto–hydrodynamic Jeffery–Hamel nano–fluid flow in non–parallel walls. To do so, we employ a new analytical technique, Predictor Homotopy Analysis Method (PHAM). This effective method is capable to calculate all branches of the multiple solutions simultaneously. Moreover, comparison of the PHAM results with numerical results obtained by the shooting method coupled with a Runge–Kutta integration method illustrates the high accuracy for this technique. For the current problem, it is found that the multiple (dual) solutions exist for some values of governing parameters especially for the convergent channel cases (α = –1). The fluid in the non–parallel walls, divergent and convergent channels, is the drinking water containing different nanoparticles; Copper oxide (CuO), Copper (Cu) and Silver (Ag). The effects of nanoparticle volume fraction parameter (φ), Reynolds number (Re), magnetic parameter (Mn), and angle of the channel (α) as well as different types of nanoparticles on the flow characteristics are discussed.

۳Spectral Collocation Solution of MHD Stagnation–Point Flow in Porous Media with Heat Transfer
نویسنده(ها): ،
اطلاعات انتشار: Journal Of Applied Fluid Mechanics، نهم،شماره۲، ۲۰۱۶، سال
تعداد صفحات: ۱۱
An efficient Collocation method based on the shifted Legendre polynomials is implemented for solv– ing the Magnetohydrodynamic Hiemenz flow with variable wall temperature in a porous medium. In the presented method the need for guessing and correcting the initial values during the solution procedure is eliminated and by using the given boundary conditions of the problem astable solution can be derived. Numerical results show influence of the Prandtl number, permeability parameter,Hartmann number and suction\blowing parameter on the velocity and temperature profiles. The skin friction coefficient and the rate of heat transfer given by the Spectral Collocation method are in good agreement with those of the previous studies.

۴Casson Fluid Flow near the Stagnation Point over a Stretching Sheet with Variable Thickness and Radiation
اطلاعات انتشار: Journal Of Applied Fluid Mechanics، نهم،شماره۳، ۲۰۱۶، سال
تعداد صفحات: ۸
The stagnation–point flow of an incompressible non–Newtonian fluid over a non–isothermal stretching sheet is investigated. Mathematical analysis is presented for a Casson fluid by taking into the account of variable thickness and thermal radiation. The coupled partial differential equations governing the flow and heat transfer are transformed into non–linear coupled ordinary differential equations by a similarity transformation. The transformed equations are then solved numerically by Runge–Kutta–Fehlberg method along with shooting technique. The effects of pertinent parameters such as the Casson fluid parameter, wall thickness parameter, velocity power index, velocity ratio parameter, Prandtl number and radiation parameter have been discussed. Comparison of the present results with known numerical results is shown and a good agreement is observed.

۵Effects of Slip Condition, Variable Viscosity and Inclined Magnetic Field on the Peristaltic Motion of a Non–Newtonian Fluid in an Inclined Asymmetric Channel
اطلاعات انتشار: Journal Of Applied Fluid Mechanics، نهم،شماره۳، ۲۰۱۶، سال
تعداد صفحات: ۱۳
The peristaltic motion of a third order fluid due to asymmetric waves propagating on the sidewalls of a inclined asymmetric channel is discussed. The key features of the problem includes longwavelength and low–Reynolds number assumptions. A mathematical analysis has been carried out to investigate the effect of slip condition, variable viscosity and magnetohydrodynamics (MHD). Followed by the nondimensionalization of the nonlinear governing equations along with the nonlinear boundary conditions, a perturbation analysis is made. For the validity of the approximate solution, a numerical solution is obtained using the iterative collocation technique.
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