Volume 3, Issue 2, April 2017, Page: 16-24
Unsteady Formulations for Stagnation Point Flow Towards a Stretching and Shrinking Sheet with Prescribed Surface Heat Flux and Viscous Dissipation
Okey Oseloka Onyejekwe, Computational Science Program, Addis Ababa University, Arat Kilo Campus, Addis Ababa, Ethiopia
Received: Dec. 12, 2016;       Accepted: Dec. 27, 2016;       Published: Apr. 24, 2017
DOI: 10.11648/j.ijfmts.20170302.11      View  1927      Downloads  171
The unsteady stagnation point flow and heat transfer with prescribed flux towards a stretching and shrinking sheet with viscous dissipation is studied. Similarity transformation is adopted to initially convert the governing differential equations into nonlinear ordinary differential equations. The two-point boundary value ordinary differential equations (ODE) are subsequently converted into partial differential equations by introducing a time-marching scheme. A Crank-Nicolson Newton-Richtmeyer scheme is employed to discretize the resulting equations. Initial guesses are made for the dependent variables and the solution advanced in time until temporal variations of the scalar profile are diminished and the steady-state solutions satisfy the similarity equations. A variation of the heat flux at one of the boundaries produced noticeable variations in the temperature field that can be related to the magnitude of the Prandtl number and velocity ratio parameter.
Stagnation Point Flow, Heat Transfer, Prescribed Flux, Crank-Nicolson-Newton-Richtmeyer, Time Marching Scheme, Steady State, Prandtl Number, Stretching and Shrinking Sheet
To cite this article
Okey Oseloka Onyejekwe, Unsteady Formulations for Stagnation Point Flow Towards a Stretching and Shrinking Sheet with Prescribed Surface Heat Flux and Viscous Dissipation, International Journal of Fluid Mechanics & Thermal Sciences. Vol. 3, No. 2, 2017, pp. 16-24. doi: 10.11648/j.ijfmts.20170302.11
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