Nonlinear forced convective hydromagnetic flow of unsteady biomagnetic fluid over a wedge with convective surface condition

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Citations (Scopus)

Abstract

Nonlinear forced convective hydromagnetic flow of an unsteady biomagnetic fluid over a wedge with convective surface has been analyzed numerically. The highly nonlinear coupled governing equations for the momentum, energy, angular momentum for the blood corpuscles and the magnetic induction are reduced to ordinary differential similarity equations by the introduction of a new similarity transformation. These equations are solved using very robust computer algebra software Maple 13. The effects of the various material parameters on the flow, temperature and microrotation fields are investigated. The results show that unsteadiness significantly controls the flow and heat transfer characteristics of the biomagnetic fluid. Strong unsteadiness may trigger back flow even for an accelerated flow. Due to the strong magnetic effect blood corpuscles may oscillate along the surface of the wedge. Induced magnetic field reduces fluid velocity and gives rise to its temperature significantly, which suggests that in the modeling of biomagnetic fluid the effect of induced magnetic field should be taken into account.

Original languageEnglish
Title of host publicationSpringer Proceedings in Complexity
PublisherSpringer
Pages423-452
Number of pages30
DOIs
Publication statusPublished - Jan 1 2014

Fingerprint

Wedge
Fluid
Fluids
Blood
Magnetic fields
Magnetic Field
Electromagnetic induction
Angular momentum
Ordinary differential equations
Computer Algebra
Algebra
Similarity Transformation
Maple
Momentum
Angular Momentum
Trigger
Heat Transfer
Heat transfer
Governing equation
Proof by induction

Keywords

  • Biot number
  • Boundary layer thickness
  • Momentum thickness
  • Nusselt number
  • Skin friction coefficient

ASJC Scopus subject areas

  • Applied Mathematics
  • Modelling and Simulation
  • Computer Science Applications

Cite this

Nonlinear forced convective hydromagnetic flow of unsteady biomagnetic fluid over a wedge with convective surface condition. / Rahman, Mohammad Mansur; Sattar, M. A.

Springer Proceedings in Complexity. Springer, 2014. p. 423-452.

Research output: Chapter in Book/Report/Conference proceedingChapter

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N2 - Nonlinear forced convective hydromagnetic flow of an unsteady biomagnetic fluid over a wedge with convective surface has been analyzed numerically. The highly nonlinear coupled governing equations for the momentum, energy, angular momentum for the blood corpuscles and the magnetic induction are reduced to ordinary differential similarity equations by the introduction of a new similarity transformation. These equations are solved using very robust computer algebra software Maple 13. The effects of the various material parameters on the flow, temperature and microrotation fields are investigated. The results show that unsteadiness significantly controls the flow and heat transfer characteristics of the biomagnetic fluid. Strong unsteadiness may trigger back flow even for an accelerated flow. Due to the strong magnetic effect blood corpuscles may oscillate along the surface of the wedge. Induced magnetic field reduces fluid velocity and gives rise to its temperature significantly, which suggests that in the modeling of biomagnetic fluid the effect of induced magnetic field should be taken into account.

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