Ramped Temperature Effects on Unsteady MHD Free Convective Flow Past an Exponentially Accelerated Vertical Plate with Radiation Absorption and Chemical Reaction

B. P. Garg*, Deepti**
* Adesh Institute of Engineering and Technology, Faridkot affiliated to IKGPTU, Kapurthala, Punjab, India.
** IKG Punjab Technical University, Jalandhar, Punjab, India.
Periodicity:August - October'2019
DOI : https://doi.org/10.26634/jfet.15.1.16083

Abstract

This paper describes how an investigation on unsteady Magnetohydrodynamic (MHD) free convective flow of a viscous incompressible electrically conducting fluid past an exponentially accelerated vertical ramped temperature plate in porous medium with radiation absorption effects is carried out. In addition, the first order chemical reaction is assumed in the flow. Under Boussinesq approximation, the exact solutions for momentum, energy and concentration equations are made in closed form using the Laplace transform technique. The solutions for isothermal plate were also obtained to compare it with that of ramped temperature plate. The expressions derived for skin friction, Nusselt number and Sherwood number are evaluated numerically and their analysis with different flow parameters is evaluated and concluded through tables. This study presents that the profiles of fluid velocity and fluid temperature are higher in case of isothermal plate in comparison to ramped temperature plate. Also fluid velocity and fluid temperature increases under radiation absorption effects but shows decreasing patterns under chemical reaction. Further the drag at the plates is found to be increased with radiationabsorption whereasthepresenceofchemicalreaction reducesthedrag. But therate of heat transfer phenomenon at the plates has adverse effects as that of drag in the presence of radiation absorption and chemicalreaction. Also the chemical reaction in the flow has enhanced the rate of mass transfer at the plates.

Keywords

Radiation absorption, MHD, chemical reaction, ramped temperature, porous medium.

How to Cite this Article?

Garg, B., P., and Deepti. (2019). Ramped temperature effects on unsteady MHD free convective flow past an exponentially accelerated vertical plate with radiation absorption and chemical reaction. i-manager’s Journal on Future Engineering and Technology ,15(1), 30-53. https://doi.org/10.26634/jfet.15.1.16083

References

[1]. Chandrakala, P., & Raj S. A. (2008). Radiation effects on flow past an impulsively started vertical oscillating plate with uniform heat flux. Indian Journal of Mathematics, 50(3), 519-532.
[3]. Chandran, P., Sacheti, N. C., & Singh, A. K. (2005). Natural convection near a vertical plate with ramped wall temperature. Heat and Mass Transfer, 41(5), 459-464.
[5]. Ganesan, P., & Palani, G. (2003). Natural convection effects on impulsively started inclined plate with heat and mass transfer. Heat and Mass Transfer, 39(4), 277-283.
[6]. Garg, B. P., & Deepti, (2019). Slip effects on chemically reacting MHD free convective flow past an inclined porous plate with radiation absorption effects and variable suction. Review of Research, 8(6), 11-26.
[8]. Hossain, M. A., Pop, I., & Ahamad, M. (1996). MHD free convection flow from an isothermal plate inclined at a small angle to the horizontal. Theoretical and Appl. Fluid Mech, 1, 194-207.
[21]. Rajput, U., S., & Kumar, S. (2011). MHD flow past an impulsively started vertical plate with variable temperature and mass diffusion. Applied Mathematical Sciences, 5(3), 149-157.
[23]. Raju, M., C., Vidyasagar, B., Varma, S., V., K., & Venkataramana, S. (2014). Radiation absorption effect on MHD free convection chemically reacting viscoelastic fluid past an oscillatory vertical porous plate in slip regime. International Journal of Engineering and Computer science, 3(9), 8212-8221.
[26]. Seth, G., S., Nandkeolyar, R., & Ansari, M., S. (2013). Effects of thermal radiation and rotation on unsteady hydromagnetic free convection flow past an impulsively moving vertical plate with ramped temperature in a porous medium. Journal of Applied Fluid Mechanics, 6(1), 27-38.
[27]. Uddin, Z., & Kumar, M. (2010). Radiation effect on unsteady MHD heat and mass transfer flow on a moving inclined porous heated plate in presence of chemical reaction. International Journal of Mathematical Modeling, Simulation and Applications, 3(2), 155-163.
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