Exact Solutions of Brinkman Type Fluid Between Side Walls Over an Inﬁnite Plate

Saeed Islam; Muhammad Asif; Samiul Haq

doi:10.20944/preprints201802.0034.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 3 February 2018 / Approved: 5 February 2018 / Online: 5 February 2018 (11:43:42 CET)

In this paper Brinkman type ﬂuid over an inﬁnite plate between side walls is being investigated. The ﬂow is generated by oscillating shear stress of the bottom plate and the solutions are obtained by using Fourier integral transformation. The obtained results are presented in steady and transient states for both sin and cos shear stresses. The general solutions are reduced to some special cases corresponding, namely to the Brinkman type ﬂuid over an inﬁnite plate and ﬂow of a Newtonian viscous ﬂuid. Graphical illustrations are carried out to have in depth analysis of the involved physical parameters

Brinkman type ﬂuid; Fourier Integral transformation; side walls; oscillating shear stress

Physical Sciences, Fluids and Plasmas Physics

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Exact Solutions of Brinkman Type Fluid Between Side Walls Over an Inﬁnite Plate

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