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۱Stagnation–point flow of a viscous fluid towards a stretching surface with variable thickness and thermal ‎radiation‎
اطلاعات انتشار: International Journal of Industrial Mathematics، هفتم،شماره۱، ۲۰۱۵، سال
تعداد صفحات: ۹
In the present analysis , we study the boundary layer flow of an incompressible viscous fluid near the two–dimensional stagnation–point flow over a stretching surface . The effects of variable thickness and radiation are also taken into account and assumed that the sheet is non–flat . Using suitable transformations , the governing partial differential equations are first converted to ordinary one and then solved numerically by fourth and fifth order Runge–Kutta–Fehlberg method with shooting technique . The influence of the various interesting parameters on the flow and heat transfer is analyzed and discussed through graphs in detail . Comparison of the present results with known numerical results is shown and a good agreement is observed . It is found that boundary layer is formed when $lambda > 1 $ . On the other hand , an inverted boundary layer is formed when $lambda 1 $ .

۲MHD boundary layer heat and mass transfer of a chemically reacting Casson fluid over a permeable stretching surface with non–uniform heat source\‎sink
اطلاعات انتشار: International Journal of Industrial Mathematics، هفتم،شماره۳، ۲۰۱۵، سال
تعداد صفحات: ۱۴
The heat and mass transfer analysis for MHD Casson fluid boundary layer flow over a permeable stretching sheet through a porous medium is carried out. The effect of non–uniform heat generation\absorption and chemical reaction are considered in heat and mass transport equations correspondingly. The heat transfer analysis has been carried out for two different heating processes namely; the prescribed surface temperature (PST) and prescribed surface heat flux (PHF). After transforming the governing equations into a set of non–linear ordinary differential equations, the numerical solutions are generated by an efficient Runge–Kutta–Fehlberg fourth–fifth order method. The solutions are found to be dependent on physical parameters such as Casson fluid parameter, magnetic parameter, porous parameter, Prandtl and Schmidt number, heat source\sink parameter, suction\injection parameter and chemical reaction parameter. Typical results for the velocity, temperature and concentration profiles as well as the skin–friction coefficient, local Nusselt number and local Sherwood number are presented for different values of these pertinent parameters to reveal the tendency of the solutions. The obtained results are compared with earlier results with some limiting cases of the problem and found to be in good ‎agreement.‎

۳Casson 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.
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