Preprint Article Version 1 This version is not peer-reviewed

Analytical Solution of Tank Drainage for Electrically Conducting Power Law Fluid

Version 1 : Received: 3 February 2018 / Approved: 5 February 2018 / Online: 5 February 2018 (11:41:11 CET)

How to cite: Islam, S.; Memon, K.N.; Siddiqui, A.M.; Shah, S.F. Analytical Solution of Tank Drainage for Electrically Conducting Power Law Fluid. Preprints 2018, 2018020033 (doi: 10.20944/preprints201802.0033.v1). Islam, S.; Memon, K.N.; Siddiqui, A.M.; Shah, S.F. Analytical Solution of Tank Drainage for Electrically Conducting Power Law Fluid. Preprints 2018, 2018020033 (doi: 10.20944/preprints201802.0033.v1).

Abstract

This paper investigates the tank drainage problem of an isothermal, unsteady, incompressible electrically conducting Power law fluid. Analytic solution have been obtained from governing continuity and momentum equations subject to appropriate boundary conditions by using Perturbation method. The Power law fluid model solution without MHD is retrieved from this proposed model on substitution . Declaration on behalf of velocity profile, volume flux, average velocity, connection of time with respect to length of the tank and requirement of time for whole drainage of fluid are acquired. Special effects of numerous emerging parameter’s on velocity profile vz and depth of the fluid in the tank are graphically presented. Keywords: Tank drainage, Power law MHD fluid, Analytical solution.

Subject Areas

Tank drainage; Power law MHD fluid; Analytical solution

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