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Slip Boundary Condition Effects on the Rate of Heat Transfer in A Micro channel Including Viscous Dissipation

E.O Anyanwu1 , D. Raymond2 , C.E Okorie3 , F.E James4 , E.O Ogbaji5

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.9-21, Aug-2018


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.921


Online published on Aug 31, 2018


Copyright © E.O Anyanwu, D. Raymond, C.E Okorie , F.E James, E.O Ogbaji . 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: E.O Anyanwu, D. Raymond, C.E Okorie , F.E James, E.O Ogbaji, “Slip Boundary Condition Effects on the Rate of Heat Transfer in A Micro channel Including Viscous Dissipation,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.9-21, 2018.

MLA Style Citation: E.O Anyanwu, D. Raymond, C.E Okorie , F.E James, E.O Ogbaji "Slip Boundary Condition Effects on the Rate of Heat Transfer in A Micro channel Including Viscous Dissipation." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.4 (2018): 9-21.

APA Style Citation: E.O Anyanwu, D. Raymond, C.E Okorie , F.E James, E.O Ogbaji, (2018). Slip Boundary Condition Effects on the Rate of Heat Transfer in A Micro channel Including Viscous Dissipation. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(4), 9-21.

BibTex Style Citation:
@article{Anyanwu_2018,
author = {E.O Anyanwu, D. Raymond, C.E Okorie , F.E James, E.O Ogbaji},
title = {Slip Boundary Condition Effects on the Rate of Heat Transfer in A Micro channel Including Viscous Dissipation},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {8 2018},
volume = {5},
Issue = {4},
month = {8},
year = {2018},
issn = {2347-2693},
pages = {9-21},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=706},
doi = {https://doi.org/10.26438/ijcse/v5i4.921}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i4.921}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=706
TI - Slip Boundary Condition Effects on the Rate of Heat Transfer in A Micro channel Including Viscous Dissipation
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - E.O Anyanwu, D. Raymond, C.E Okorie , F.E James, E.O Ogbaji
PY - 2018
DA - 2018/08/31
PB - IJCSE, Indore, INDIA
SP - 9-21
IS - 4
VL - 5
SN - 2347-2693
ER -

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Abstract :
This study analyzes laminar forced convection flow in parallel plate micro-channel with slip velocity and temperature jump. Closed-form solutions are obtained for temperature, bulk temperature and rate of heat transfer when both walls of the channel are kept at unequal temperatures. The effects of various controlling parameters such as rarefaction parameter, fluid-wall interaction parameter and Brinkman number on the thermal behavior and rate of heat transfer are discussed with the aid of line graphs. Interesting result from the present work is that increase in rarefaction parameter leads to enhancement in fluid temperature while increase in fluid-wall interaction parameter leads to increase in temperature jump on the walls of the channel. In addition, the rate of heat transfer represented as the Nusselt number at the both walls of the channel displays an unbounded swing which varies with increase in fluid-wall interaction and rarefaction parameters.

Key-Words / Index Term :
Micro-channel, forced convection, velocity slip, temperature jump, viscous dissipation, Nusselt number

References :
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