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Effects of Temperature dependent viscosity on Penetrative Convection in a Fluid Layer Bounded by Slabs of Finite Thermal Conductivity and Finite Thickness

Gangadharaiah Y.H.1 , Ananda K.2

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.5 , pp.41-50, Oct-2018


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i5.4150


Online published on Oct 31, 2018


Copyright © Gangadharaiah Y.H., Ananda K. . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: Gangadharaiah Y.H., Ananda K., “Effects of Temperature dependent viscosity on Penetrative Convection in a Fluid Layer Bounded by Slabs of Finite Thermal Conductivity and Finite Thickness,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.5, pp.41-50, 2018.

MLA Style Citation: Gangadharaiah Y.H., Ananda K. "Effects of Temperature dependent viscosity on Penetrative Convection in a Fluid Layer Bounded by Slabs of Finite Thermal Conductivity and Finite Thickness." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.5 (2018): 41-50.

APA Style Citation: Gangadharaiah Y.H., Ananda K., (2018). Effects of Temperature dependent viscosity on Penetrative Convection in a Fluid Layer Bounded by Slabs of Finite Thermal Conductivity and Finite Thickness. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(5), 41-50.

BibTex Style Citation:
@article{Y.H._2018,
author = {Gangadharaiah Y.H., Ananda K.},
title = {Effects of Temperature dependent viscosity on Penetrative Convection in a Fluid Layer Bounded by Slabs of Finite Thermal Conductivity and Finite Thickness},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {10 2018},
volume = {5},
Issue = {5},
month = {10},
year = {2018},
issn = {2347-2693},
pages = {41-50},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=865},
doi = {https://doi.org/10.26438/ijcse/v5i5.4150}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i5.4150}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=865
TI - Effects of Temperature dependent viscosity on Penetrative Convection in a Fluid Layer Bounded by Slabs of Finite Thermal Conductivity and Finite Thickness
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Gangadharaiah Y.H., Ananda K.
PY - 2018
DA - 2018/10/31
PB - IJCSE, Indore, INDIA
SP - 41-50
IS - 5
VL - 5
SN - 2347-2693
ER -

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Abstract :
The onset of penetrative convection in a variable-viscosity flow bounded by slabs of finite thermal conductivity and finite thickness has been investigated by means of linear stability analysis. The relationship between the viscosity and the temperature is assumed of exponential type. The asymptotic solutions of the long wavelength, for small values of the conductivity and thickness of the solid, are achieved. The values of critical Rayleigh numbers for different values of thermal conductivity ratio and viscosity parameters and, consequently the critical Rayleigh numbers at which the onset of convection starts, are computed analytically. The effects of various parameters (namely, viscosity parameter, thermal conductivity ratio , depth ratio and the presence of internal heat source strength on the onset of stationary convection) are computed analytically and depicted graphically. It is observed that both stabilizing and destabilizing factors can be enhanced because of the presence of a heat source, thermal conductivity ratio, depth ratio, and variable viscosity .As a result, it is possible so that to postpone (or advance) significantly the onset of motion.

Key-Words / Index Term :
variable viscosity: internal heat source: thermal conductivity: Stability

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