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

  • M. M. Rahman
  • M. A. Sattar
Conference paper
Part of the Springer Proceedings in Complexity book series (SPCOM)


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.


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.



Biot number


Skin friction coefficient


Specific heat at constant pressure


Eckert number


Dimensionless stream function


Induced magnetic field parameter


Heat transfer coefficient


Induced magnetic field intensity


Dimensionless H*


Applied magnetic field intensity


Induced magnetic field


Micro-inertia per unit mass


Unsteadiness parameter


Magnetic field parameter


Velocity exponent


Dimensionless microrotation


Local Nusselt number


Microrotation parameter




Magnetic Prandtl parameter


Prandtl number


Surface heat flux


Local Reynolds number


Coefficient of vortex viscosity




Temperature within boundary layer


Temperature at the bottom


Temperature at the surface


Temperature of the ambient fluid


Velocity along x-axis


Free stream velocity


Characteristic velocity


Nondim. free stream velocity


Velocity along y-axis


Characteristic length


Coordinate along the surface


Coordinate normal to surface

Greek Symbols


Density of the fluid


Wedge angle parameter


Length scale


Dynamic viscosity


Magnetic permeability


Kinematic viscosity


Spin-gradient viscosity


Vortex viscosity parameter


Micro-inertia parameter




Fluid electric conductivity


Stream function


Thermal conductivity


Similarity parameter


Shear stress


Nondim boundary layer thickness


Dimensionless displacement thickness


Dimensionless momentum thickness


Dimensionless temperature


Step size



Surface condition

Boundary layer edge



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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