Nonlinear Forced Convective Hydromagnetic Flow of Unsteady Biomagnetic Fluid Over a Wedge with Convective Surface Condition

Conference paper
Part of the Springer Proceedings in Complexity book series (SPCOM)

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.

Keywords

Nusselt Number Boundary Layer Thickness Biot Number Skin Friction Coefficient Momentum Thickness 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Nomenclature

Bi

Biot number

Cf

Skin friction coefficient

cp

Specific heat at constant pressure

Ec

Eckert number

f

Dimensionless stream function

h

Induced magnetic field parameter

hf

Heat transfer coefficient

H*

Induced magnetic field intensity

H

Dimensionless H*

H0

Applied magnetic field intensity

Hw

Induced magnetic field

j

Micro-inertia per unit mass

K

Unsteadiness parameter

M

Magnetic field parameter

m

Velocity exponent

N

Dimensionless microrotation

Nu

Local Nusselt number

n

Microrotation parameter

P

Pressure

Pm

Magnetic Prandtl parameter

Pr

Prandtl number

qw

Surface heat flux

Re

Local Reynolds number

S

Coefficient of vortex viscosity

t

Time

T

Temperature within boundary layer

Tf

Temperature at the bottom

Tw

Temperature at the surface

T

Temperature of the ambient fluid

u

Velocity along x-axis

U

Free stream velocity

U0

Characteristic velocity

U*

Nondim. free stream velocity

v

Velocity along y-axis

X

Characteristic length

x

Coordinate along the surface

y

Coordinate normal to surface

Greek Symbols

ρ

Density of the fluid

β

Wedge angle parameter

δ

Length scale

μ

Dynamic viscosity

μe

Magnetic permeability

υ

Kinematic viscosity

υs

Spin-gradient viscosity

Δ

Vortex viscosity parameter

ξ

Micro-inertia parameter

ω

Microrotation

σ

Fluid electric conductivity

ψ

Stream function

κ

Thermal conductivity

η

Similarity parameter

τw

Shear stress

λ

Nondim boundary layer thickness

λ1

Dimensionless displacement thickness

λ2

Dimensionless momentum thickness

θ

Dimensionless temperature

Δη

Step size

Subscripts

w

Surface condition

Boundary layer edge

Notes

Acknowledgment

M.M. Rahman would like to thank the Sultan Qaboos University for financial support through the research grant IG/SCI/DOMAS/10/02. M.A. Sattar expresses his sincere gratitude to Sultan Qaboos University for proving local hospitality during his visit.

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Department of Mathematics and Statistics, College of ScienceSultan Qaboos UniversityMuscatSultanate of Oman
  2. 2.Department of Electrical Engineering and Computer ScienceNorth South UniversityDhakaBangladesh

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