Abstract
A problem motivated by the investigation of the heat and mass transfer in the unsteady magnetohydrodynamic (MHD) flow of blood through a vessel is solved numerically when the lumen of the vessel has turned into the porous structure. The time-dependent permeability and the oscillatory suction velocity are considered. The computational results are presented graphically for the velocity, the temperature, and the concentration fields for various values of skin friction coefficients, Nusselt numbers, and Sherwood numbers. The study reveals that the flow is appreciably influenced by the presence of a magnetic field and also by the value of the Grashof number.
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Abbreviations
- u :
-
dimensionless velocity
- g :
-
acceleration due to gravity
- β :
-
coefficient of thermal expansion
- β*:
-
coefficient of thermal expansion with concentration
- B 0 :
-
applied magnetic field
- υ 0 :
-
scale of suction velocity (non-zero constant)
- ν :
-
kinematic coefficient of viscosity
- σ :
-
electrical conductivity
- ρ :
-
density of fluid
- T :
-
temperature
- C :
-
concentration
- T w :
-
surface temperature
- C w :
-
concentration of fluid at the sheet
- T ∞ :
-
temperature of the ambient fluid
- C ∞ :
-
concentration of the ambient fluid
- D :
-
thermal molecular diffusivity
- ε :
-
small positive constant (≪ 1)
- q r :
-
radiative heat flux
- c p :
-
specific heat at constant pressure
- σ*:
-
Stefan-Boltzmann constant
- k*:
-
mean absorption coefficient
- k 1 :
-
thermal conductivity
- K 0 :
-
constant permeability of the medium
- n′:
-
frequency of oscillation
- M :
-
Hartmann number
- Gr :
-
Grashofnumber
- Gm :
-
solute Grashof number
- Pr :
-
Prandtl number
- Nr :
-
radiation parameter
- Sc :
-
Schmidt number
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Sinha, A., Misra, J.C. Numerical study of flow and heat transfer during oscillatory blood flow in diseased arteries in presence of magnetic fields. Appl. Math. Mech.-Engl. Ed. 33, 649–662 (2012). https://doi.org/10.1007/s10483-012-1577-8
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DOI: https://doi.org/10.1007/s10483-012-1577-8