Author(s): Veena Sharma, Ashwini Kumar, Abhilasha, Abhishek Sharma

Email(s): veena_math_hpu@yahoo.com , ashwinipatiyal@gmail.com

DOI: 10.5958/2349-2988.2017.00031.6   

Address: Veena Sharma1, Ashwini Kumar1, Abhilasha2, Abhishek Sharma3
1Department of Mathematics and Statistics, Himachal Pradesh University, Shimla-5 2SDWG Govt. College Beetan, Distt. Una (H.P)
3B.Tech. Civil Engineering, Govt. College Beetan, Distt. Una (H.P)
*Corresponding Author

Published In:   Volume - 9,      Issue - 1,     Year - 2017


ABSTRACT:
The numerical investigations of a dielectric nanofluid under the simultaneous action of an Alternating Current electric field and a uniform adverse temperature gradient has been studied using the linear theory and normal mode analysis. The eigen-value problem is solved analytically and numerically using the Galerkin technique. Effect of various non-dimensional parameters on thermal Rayleigh number Ra for the stationary convection has been determined. The boundaries are considered to be stress-free. Thermal Rayleigh number has been computed for various values of electric Rayleigh number for the onset of instability using the software-MATHEMATICA Version 5.2. Numerical results are presented graphically. The thermal Rayleigh number decreases linearly as the concentration Rayleigh number R_n increases. Moreover for stability motion, the value of thermal Rayleigh number R_a occurs only for negative values of R_ea and it is positive. The value of critical thermal Rayleigh number R_a decreases with decreasing the value of R_ea. It is observed that the role of electric field is not of much sinificance the convection in the fluid layer in case of stability motions. In case of stability, the thermal Rayleigh number is independent of Prandtl number and hence Prandtl number has no role to play.


Cite this article:
Veena Sharma, Ashwini Kumar, Abhilasha, Abhishek Sharma. Numerical Investigations of Electro-Thermal Convection in Dielectric Nanofluid Layer. Research J. Science and Tech. 2017; 9(1):184-188. doi: 10.5958/2349-2988.2017.00031.6


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DOI: 10.5958/2349-2988 


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