Thermo-fluidic transport of electromagnetohydrodynamic flow in a corrugated porous medium microchannel
Tóm tắt
In this paper, the heat transfer characteristics associated with the impact of combined electromagnetohydrodynamic flow in a microchannel with the regular wavy rough wall through a porous medium have been investigated. The approximate analytical solutions for the velocity and potential distribution are obtained using the perturbation technique. To study the thermal characteristics, the analytical solution for temperature distribution in the presence of Joule heating is derived. Impressive results are obtained to examine the behavior of velocity and temperature due to the rough wavy wall in the presence of applied magnetic field and transverse electric field. The significant effects on velocity and heat transport within the corrugated microchannel for various combination of pertinent parameters such as Hartmann number, Darcy number and transverse electric field are elaborated. Furthermore, variation of the mean velocity and the rate of heat transfer characteristic due to wavy roughness and the magnetic field has been studied. The study shows that the mean velocity decreases with Darcy number and has enhancing effect on applied magnetic field, whereas the trend is reversed in the case of applied electric field. The rate of heat transfer increases with an increase in Joule heating effects, Hartmann number and permeability of the porous medium.
Tài liệu tham khảo
K. Nandy, S. Chaudhuri, R. Ganguly, I.K. Puri, J. Magn. Magn. Mater. 320(7), 1398–1405 (2008)
K. Ohno, K. Tachikawa, A. Manz, Electrophoresis 29, 4443–4453 (2008)
H. Becker, C. Gartner, Electrophoresis 21, 12–26 (2000)
J.H. Masliyah, S. Bhattacharjee, Electrokinetic and Colloid Transport Phenomena (Wiley, Hoboken, 2006)
H.A. Stone, A.D. Stroock, A. Ajdari, Annu. Rev. Fluid Mech. 36, 381–411 (2004)
C.K. Nash, I. Fritsch, Anal. Chem. 88, 1601–1609 (2016)
J. Jang, S.S. Lee, Sens. Actuators A 80, 84–97 (2000)
A. Homsy, S. Koster, J.C.T. Eijkel, A.V.D. Berg, F. Lucklum, E. Verpoorte, N.F.D. Rooij, Lab Chip 5, 466–471 (2005)
B. Nguyen, S.K. Kassegne, Microfluid. Nanofluid 5, 383–393 (2008)
A.V. Lemoff, A.P. Lee, Sens. Actuators B: Chem 63, 178–185 (2000)
J.C.T. Eijkela, J.C.T. Daltonb, C. Haydenb, C.J. Burtb, J.P.H. Manz, Sens. Actuators B:Chem. 92, 215–221 (2003)
L. Huang, W. Wang, M.C. Murphy, K. Lian, Z.G. Ling, Microsyst. Technol. 6, 84–97 (2000)
M. Shojaeian, M. Shojaeian, Microfluid Nanofluid 12, 553–564 (2012)
H.H. Bau, J. Zhu, S. Qian, Y. Xiang, Sens. Actuators B 88, 205–216 (2003)
H.H. Bau, J. Zhong, M. Yi, Actuat. B Chem. 79, 207–215 (2001)
Y. Gao, T.N. Wong, C. Yang, K.T. Ooi, J. Colloid Interface Sci. 284, 306–314 (2005)
J.P. Gleeson, O.M. Roche, J. West, A. Gelb, SIAM J. Appl. Math. 64, 1294–1310 (2004)
S. Das, S. Chakraborty, S.K. Mitra, Microfluid Nanofluid 13, 799–807 (2012)
A. Sinha, G.C. Shit, J. Magn. Magn. Mater. 378, 143–151 (2015)
S. Sarkar, S. Ganguly, P. Dutta, Chem. Eng. Sci. 171, 391–403 (2017)
L. Wang, Y. Jian, Q. Liu, F. Li, L. Chang, Colloids Surf. A:Physicochem. Eng. Aspects 494, 87–97 (2016)
S. Sarkar, S. Ganguly, S. Chakraborty, Microfluid Nanofluid 21(3), 56-1–56-16 (2017)
C. Vargas, J. Arcos, O. Bautista, F. Mendez, Phys. Fluids 29, 092002 (2017)
Z. Xie, Y. Jian, Colloids Surf. A Physicochem. Eng. Aspects 529, 334–345 (2017)
S. Sarkar, S. Ganguly, P. Dutta, Int. J. Heat Mass Transf. 100, 451–463 (2016)
S. Chakraborty, D. Paul, J. Phys. D Appl. Phys. 39, 5364–5371 (2006)
R. Chakraborty, R. Dey, S. Chakraborty, Int. J. Heat Mass Transf. 67, 1151–1162 (2013)
Y. Liu, Y. Jian, W. Tan, Int. J. Heat Mass Transf. 127(A), 901–913 (2018)
Y. Liu, Y. Jian, Appl. Math. Mech. 40, 1457–1470 (2019)
G.P. Zhao, Y.J. Jian, F.Q. Li, J. Mech. 33(1), 115–124 (2017)
N. Biswas, N. K. Manna, A. J. Chamkha, J. Therm. Anal. Calorim. (2020)
N. Biswas, U.K. Sarkar, A.J. Chamkha, N.K. Manna, J. Therm. Anal. Calorim. 143, 1727–1753 (2021)
M.V. Krishna, N.A. Ahamad, A.J. Chamkha, Alex. Eng. J. 59, 565–577 (2020)
M. Ghalambaz, S.A.M. Mehryan, I. Zahmatkesh, A. Chamkha, Int. J. Therm. Sci. 157, 106503 (2020)
G. Karniadakis, A. Beskok, N. Aluru (Springer, New York, 2005)
G. Karniadakis, A. Beskok, Micro Flows (Springer, New York, 2002)
D. Nield, A. Bejan (Springer, New York, 1999)
S.M.H. Zadeh, S.A.M. Mehryan, M. Ghalambaz, M. Ghodrat, J. Young, A. Chamkha, Energy (2020)
M. Buren, Y. Jian, L. Chang, J. Phys. D Appl. Phys. 47, 425501 (2014)
D. Si, Y. Jain, J. Phys. D Appl. Phys. 48, 085501 (2015)
M. Buren, Y. Jian, Electrophoresis 36, 1539–1548 (2015)
M. Buren, Y. Jain, L. Chang, F. Li, Q. Liu, I.O.P. Publishing, Jpn. Soc. Fluid Mech. Fluid Mech. Res. 49, 025517 (2017)
M.M. Rashid, S. Nadeem, Can. J. Phys. 97(7), 701–720 (2019)
M.M. Rashid, I. Shahzadi, S. Nadeem, Results Phys. 9, 171–182 (2018)
E.J. Hinch, Perturbation Methods (Cambridge University Press, Cambridge, 1991)
H. Keramati, A. Sadeghi, M.H. Saidi, S. Chakraborty, Int. J. Heat Mass Transf. 92, 244–251 (2016)
N.K. Ranjit, G.C. Shit, Physica A 482, 458–476 (2017)
G.C. Shit, A. Mondal, A. Sinha, P.K. Kundu, Physica A 462, 1040–1057 (2016)
G. Nicola, O. Simek, ASME J. Heat Transf. 124, 356–364 (2002)