Mass transpiration in magneto-hydrodynamic boundary layer flow over a superlinear stretching sheet embedded in porous medium with slip

P. N. Vinay Kumar, U. S. Mahabaleshwar, K. R. Nagaraju, M. Mousavi Nezhad, A. Daneshkhah

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We have studied mass transpiration of a magneto-hydrodynamic (MHD) flow of a Newtonian fluid over a superlinear stretching sheet embedded in a porous medium. A model was created of a nonlinear system of partial differential equations that are transformed into third-order nonlinear ordinary differential equations via similarity transformations and then solved analytically using differential transform method and Pade approximants. The main focus of the present study is on the effect of Navier’s slip boundary condition on flow behavior. A comprehensive study is presented on the effects of various parameters, such as Navier’s slip condition, mass transpiration (suction/injection), and Darcy number on the axial and transverse velocity profiles of the laminar boundary layer flow through the stretching sheet.

Original languageEnglish
Pages (from-to)1015-1025
Number of pages11
JournalJournal of Porous Media
Volume22
Issue number8
DOIs
Publication statusPublished - 1 Jan 2019

Keywords

  • Darcy number
  • Mass transpiration
  • MHD flow
  • Navier’s slip
  • Superlinear stretching sheet

ASJC Scopus subject areas

  • Modelling and Simulation
  • Biomedical Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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