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Open AccessArticle

Unsteady Viscous Incompressible Bingham Fluid Flow through a Parallel Plate

1
Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj 8100, Bangladesh
2
Department of Applied Mathematics, Dhaka University, Dhaka 100, Bangladesh
3
Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
*
Author to whom correspondence should be addressed.
Inventions 2019, 4(3), 51; https://doi.org/10.3390/inventions4030051
Received: 15 June 2019 / Revised: 8 August 2019 / Accepted: 14 August 2019 / Published: 27 August 2019
(This article belongs to the Special Issue Recent Trends in Nanofluids)
Numerical investigation for unsteady, viscous, incompressible Bingham fluid flow through parallel plates is studied. The upper plate drifts with a constant uniform velocity and the lower plate is stationary. Both plates are studied at different fixed temperatures. To obtain the dimensionless equations, the governing equations for this study have been transformed by usual transformations. The obtained dimensionless equations are solved numerically using the explicit finite difference method (FDM). The studio developer Fortran (SDF) 6.6a and MATLAB R2015a are both used for numerical simulations. The stability criteria have been established and the system is converged for Prandtl number P r 0.08 with Δ Y = 0.05 and Δ τ = 0.0001 as constants. As a key outcome, the steady-state solutions have been occurred for the dimensionless time τ   =   4.00 The influence of parameters on the flow phenomena and on shear stress, including Nusselt number, are explained graphically. Finally, qualitative and quantitative comparison are shown. View Full-Text
Keywords: Bingham fluid; explicit finite difference method; stability analysis Bingham fluid; explicit finite difference method; stability analysis
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MDPI and ACS Style

Islam, M.M.; Mollah, M.T.; Khatun, S.; Ferdows, M.; Alam, M.M. Unsteady Viscous Incompressible Bingham Fluid Flow through a Parallel Plate. Inventions 2019, 4, 51.

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