首页|A new model of flow over stretching(shrinking)and porous sheet with its numerical solutions
A new model of flow over stretching(shrinking)and porous sheet with its numerical solutions
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The viscous fluid flow and heat transfer over a stretching(shrinking)and porous sheets of nonuniform thickness are investigated in this paper.The modeled problem is presented by utilizing the stretching(shrinking)and porous velocities and variable thickness of the sheet and they are combined in a relation.Consequently,the new problem reproduces the different available forms of flow motion and heat transfer maintained over a stretching(shrinking)and porous sheet of variable thickness in one go.As a result,the governing equations are embedded in several parameters which can be transformed into classical cases of stretched(shrunk)flows over porous sheets.A set of general,unusual and new variables is formed to simplify the governing partial differential equations and boundary conditions.The final equations are compared with the classical models to get the validity of the current simulations and they are exactly matched with each other for different choices of parameters of the current problem when their values are properly adjusted and manipulated.Moreover,we have recovered the classical results for special and appropriate values of the parameters(δ1,δ2,δ3,c,and B).The individual and combined effects of all inputs from the boundary are seen on flow and heat transfer properties with the help of a numerical method and the results are compared with classical solutions in special cases.It is noteworthy that the problem describes and enhances the behavior of all field quantities in view of the governing parameters.Numerical result shows that the dual solutions can be found for different possible values of the shrinking parameter.A stability analysis is accomplished and apprehended in order to establish a criterion for the determinations of linearly stable and physically compatible solutions.The significant features and diversity of the modeled equations are scrutinized by recovering the previous problems of fluid flow and heat transfer from a uniformly heated sheet of variable(uniform)thickness with variable(uniform)stretching/shrinking and injection/suction velocities.
permeable stretching(shrinking)sheetssheet of variable thicknessheat transfernumerical(dual)solutionsstability analysis
Azhar Ali、Dil Nawaz Khan Marwat、Saleem Asghar
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Department of Mathematics,Islamia College Peshawar 25120,Jamrod road,Peshawar,Khyber Pakhtunkhwa,Pakistan
Department of Mathematics,COMSATS Institute of Information Technology,Park Road,Tarlai Kalan,Islamabad 45550,Pakistan
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