# Heat and mass transfer effects on flow past an impulsively started vertical plate

- Received:
- Revised:

DOI: 10.1007/BF01178790

- Cite this article as:
- Muthucumaraswamy, R., Ganesan, P. & Soundalgekar, V.M. Acta Mechanica (2001) 146: 1. doi:10.1007/BF01178790

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## Summary

An exact solution to the problem of lfow past an impulsively started infinite vertical plate in the presence of uniform heat and mass flux at the plate is presented by the Laplace-transform technique. The velocity, the temperature and the concentration profiles are shown graphically. The rate of heat transfer, the skin-friction, and the Sherwood number are also shown on graphs. The effect of different parameters like Grashof number, mass Grashof number, Prandtl number, and Schmidt number are discussed.

### List of symbols

*C′*species concentration near the plate

*C′*_{∞}species concentration in the fluid far away from the plate

*C*dimensionless concentration

*C*_{p}specific heat at constant pressure

*D*mass diffusion coefficient

*g*acceleration due to gravity

- Gr
thermal Grashof number

- Gc
mass Grashof number

*j″*mass flux per unit area at the plate

*K*thermal conductivity of the fluid

- Nu
Nusselt number

- Pr
Prandtl number

*q*heat flux per unit area at the plate

- Sc
Schmidt number

*t′*time

*t*dimensionless time

*T′*temperature of the fluid near the plate

*T′*_{∞}temperature of the fluid far away from the plate

*T′*_{w}temperature of the plate

*u′*velocity of the fluid in the

*x′*-direction*u*_{0}velocity of the plate

*u*dimensionless velocity

*x′*coordinate axis along the plate

*y′*coordinate axis normal to the plate

*y*dimensionless coordinate axis normal to the plate

- β
volumetric coefficient of thermal expansion

- β
^{*} volumetric coefficient of expansion with concentration

- μ
coefficient of viscosity

- ν
kinematic viscosity

- ϱ
density

- τ′
skin-friction

- τ
dimensionless skin-friction

- θ
dimensionless temperature

*er fc*complementary error function

- η
similarity parameter