Simulation of unsteady MHD flow of incompressible fluid between two parallel plates using Laplace-Adomian decomposition method
1 Department of Mathematics, Rivers State University, Port Harcourt, Nigeria.
2 Department of Civil Engineering, Rivers State University, Port Harcourt, Nigeria.
3 Department of Mathematics, Cross River University, Calabar, Nigeria.
Research Article
World Journal of Advanced Research and Reviews, 2022, 14(03), 136–145
Article DOI: 10.30574/wjarr.2022.14.3.0456
Publication history:
Received on 15 April 2022; revised on 04 June 2022; accepted on 06 June 2022
Abstract:
The aim of this study is to numerically obtain the solution to an unsteady incompressible fluid confined between two parallel plates with constant velocity. The nonlinear partial differential equation governing the flow is first converted to a nonlinear ordinary differential equation using similarity transformation and solved using the combination of Laplace transform and Adomian decomposition method (LADM). The model parameters affecting the flow geometry is analysed and presented in tables and graphs. The method produces an accurate, elegant, computable, and approximately convergent solution which gives great insight but with less mathematical sophistication.
Keywords:
MHD; Unsteady; Incompressible fluid; Laplace Adomian decomposition method (LADM); Similarity transformation
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