Exact solutions for pseudo plane flows of first and second kind for couple Stress fluid flows

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Authors :

Subin P. Joseph 1 *

Author Address :

1 Department of Mathematics, Government Engineering College, Wayanad-670644, Kerala, India.

Abstract :

Two distinct families of exact solutions for Newtonian fluid flows and couple stress fluid flows are derived in this paper. The partial differential equations governing the motion of such flows are highly nonlinear and are in higher orders. Due to this difficulty, the available exact solutions for couple stress flows are very less and most of them are available in the case of one dimensional flows or planar flows. We derive the exact solutions as pseudo plane flows of first kind and second kind.

Keywords :

Newtonian flows, Couple stress flows, Exact solutions, Pseudo plane flows.

DOI :

10.26637/MJM0S20/0125

Article Info :

Received : February 09, 2020; Accepted : April 28, 2020.