Abstract
The problem of MHD flow of visco-elastic fluid through a horizontal channel has been analysed in the presence of heat and mass transfer. The fluid is subjected to a transverse magnetic field and the slip velocity at the lower wall of the channel taken into consideration. A mathematical model (Walters liquid model B′) has been analyzed using appropriate mathematical techniques. Expressions for velocity, temperature, concentration, wall shear stress and rate of heat and mass transfer have been obtained. Variations of the quantities with different parameters are computed by using MATLAB software. The results are discussed graphically to measure the impact of visco-elasticity.
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Abbreviations
- L :
-
The mean-free path
- m 1 :
-
The Maxwell’s reflexion
- B 0 :
-
Transverse magnetic field
- D m :
-
Co-efficient of mass diffusivity
- D :
-
The mean width of the channel
- p′:
-
Pressure
- T′:
-
Temperature distribution
- x, y :
-
Cartesian co-ordinate
- u, v :
-
Velocity components along x and y axis
- K :
-
Co-efficient of thermal conductivity
- T1′, T2′:
-
Wall temperatures
- \( C_{1}^{{\prime }} ,C_{2}^{{\prime }} \) :
-
Wall concentrations
- K 1 :
-
Visco-elastic parameter \( \left( {\frac{{K_{0} V_{0} }}{{\eta_{0} d}}} \right) \)
- M :
-
Magnetic Parameter \( \left( {\frac{{\sigma B_{0}^{2} \mu {\prime }d^{2} }}{{\mu_{0} }}} \right) \)
- P r :
-
Prandtl number \( \left( {\frac{{\mu C_{p} }}{K}} \right) \)
- S:
-
Suction parameter \( \left( {\frac{{v_{0} d}}{\upsilon }} \right) \)
- Sc:
-
Schmidth number \( \left( {\frac{{v_{0} d}}{Dm}} \right) \)
- ∈:
-
The amplitude parameter
- λ :
-
Frequency parameter \( \left( {K_{0} d} \right) \)
- \( \upsilon \) :
-
Kinematic viscosity \( \left( {\frac{{\mu^{\prime}}}{\rho }} \right) \)
- \( \rho \) :
-
Density
- \( \sigma \) :
-
Electric conductivity
- \( \theta \) :
-
Dimensionless temperature
- \( \phi \) :
-
Dimensionless concentration
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Dey, B., Choudhury, R. (2019). Slip Effects on Heat and Mass Transfer in MHD Visco-Elastic Fluid Flow Through a Porous Channel. In: Abraham, A., Dutta, P., Mandal, J., Bhattacharya, A., Dutta, S. (eds) Emerging Technologies in Data Mining and Information Security. Advances in Intelligent Systems and Computing, vol 755. Springer, Singapore. https://doi.org/10.1007/978-981-13-1951-8_50
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DOI: https://doi.org/10.1007/978-981-13-1951-8_50
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