Summary
The flow of a viscous ferrofluid over a stretching sheet in the presence of a magnetic dipole is considered. The fluid momentum and thermal energy equations are fomulated as a five-parameter problem, and the influence of the magneto-thermomechanical coupling is explored numerically. It is concluded that the primary effect of the magnetic field is to decelerate the fluid motion as compared to the hydrodynamic case, thereby increasing the skin friction and reducing the heat transfer rate at the sheet.
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Abbreviations
- a :
-
distance
- c :
-
constant
- c p :
-
specific heat at constant pressure
- C f :
-
wall friction coefficient
- e :
-
2.71828 ...
- f :
-
dimensionless stream function
- H :
-
magnetic field
- k :
-
thermal conductivity
- K :
-
constant
- M :
-
magnetization
- Nu x :
-
local Nusselt number
- p :
-
pressure
- P :
-
dimensionless pressure
- Pr:
-
Prandtl number, μc p/k
- Re x :
-
local Reynolds number, ϱcx 2/μ
- T :
-
temperature
- u :
-
velocity component along the sheet
- v :
-
velocity component normal to the sheet
- x :
-
coordinate along the sheet
- y :
-
coordinate normal to the sheet
- α:
-
dimensionless distance
- β:
-
ferrohydrodynamic interaction parameter
- γ:
-
constant
- ε:
-
dimensionless Curie temperature
- η:
-
dimensionless coordinate
- θ:
-
dimensionless temperature
- λ:
-
viscous dissipation parameter
- μ:
-
dynamic viscosity
- μ0 :
-
permeability
- ζ:
-
dimensionless coordinate
- ϱ:
-
density
- τ:
-
shear stress
- ϕ:
-
magnetic potential
- ψ:
-
stream function
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Andersson, H.I., Valnes, O.A. Flow of a heated ferrofluid over a stretching sheet in the presence of a magnetic dipole. Acta Mechanica 128, 39–47 (1998). https://doi.org/10.1007/BF01463158
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DOI: https://doi.org/10.1007/BF01463158