ORIGINAL PAPER
MHD Heat Transfer in Two-Layered Flow of Conducting Fluids through a Channel Bounded by Two Parallel Porous Plates in a Rotating System
,
 
 
 
More details
Hide details
1
Department of Engineering Mathematics, AUCE(A), Andhra University, VISAKHAPATNAM, Pin code: 530 003, A.P, India
 
2
Department of Mathematics, Aditya Institute of Technology and Management, TEKKALI, Pin code: 532 201, A.P, India
 
 
Online publication date: 2016-09-10
 
 
Publication date: 2016-08-01
 
 
International Journal of Applied Mechanics and Engineering 2016;21(3):623-648
 
KEYWORDS
ABSTRACT
The paper aims to analyze the heat transfer aspects of a two-layered fluid flow in a horizontal channel under the action of an applied magnetic and electric fields, when the whole system is rotated about an axis perpendicular to the flow. The flow is driven by a common constant pressure gradient in the channel bounded by two parallel porous insulating plates, one being stationary and the other one oscillatory. The fluids in the two regions are considered electrically conducting, and are assumed to be incompressible with variable properties, namely, different densities, viscosities, thermal and electrical conductivities. The transport properties of the two fluids are taken to be constant and the bounding plates are maintained at constant and equal temperature. The governing partial differential equations are then reduced to the ordinary linear differential equations by using a two-term series. The temperature distributions in both fluid regions of the channel are derived analytically. The results are presented graphically to discuss the effect on the heat transfer characteristics and their dependence on the governing parameters, i.e., the Hartmann number, Taylor number, porous parameter, and ratios of the viscosities, heights, electrical and thermal conductivities. It is observed that, as the Coriolis forces become stronger, i.e., as the Taylor number increases, the temperature decreases in the two fluid regions. It is also seen that an increase in porous parameter diminishes the temperature distribution in both the regions.
 
REFERENCES (96)
1.
Shail R. (1973): On laminar tow-phase flow in magnetohydrodynamics. – International Journal of Engineering Science, vol.11, 1103.
 
2.
Shail R. (1973). On laminar tow-phase flow in magnetohydrodynamics International Journal of Engineering Science. 11: 1103.
 
3.
Walin G. (1969): Some aspects of time dependent motion of a stratified rotating fluid. – Journal of Fluid Mechanics, vol.36, 289.
 
4.
Walin G. (1969). Some aspects of time dependent motion of a stratified rotating fluid Journal of Fluid Mechanics. 36: 289.
 
5.
Packham B.A. and Shail R. (1971). Stratified laminar flow of two immiscible fluids. – Proceedings of Cambridge Philosophical Society, vol.69, pp.443-448.
 
6.
Packham B.A., Shail R. (1971). Stratified laminar flow of two immiscible fluids Proceedings of Cambridge Philosophical Society. 69: 443-448.
 
7.
Lielausis O. (1975): Liquid metal magnetohydrodynamics. – Atomic Energy Review, vol.13, 527.
 
8.
Lielausis O. (1975). Liquid metal magnetohydrodynamics Atomic Energy Review. 13: 527.
 
9.
Debnath L. and Basu U. (1975): Unsteady slip flow in an electrically conducting two-phase fluid under transverse magnetic fields. – NUOVO Cimento, vol.28B, pp.349-362.
 
10.
Debnath L., Basu U. (1975). Unsteady slip flow in an electrically conducting two-phase fluid under transverse magnetic fields NUOVO Cimento. 28B: 349-362.
 
11.
Michiyoshi Funakawa Kuramoto C., Akita Y. and Takahashi O. (1977): Instead of the helium-lithium annular-mist flow at high temperature, an air-mercury stratified flow in a horizontal rectangular duct in a vertical magnetic field. – Int. J. Multiphase Flow, vol.3, p.445.
 
12.
Michiyoshi Funakawa Kuramoto C., Akita Y., Takahashi O. (1977). Instead of the helium-lithium annular-mist flow at high temperature, an air-mercury stratified flow in a horizontal rectangular duct in a vertical magnetic field Int. J. Multiphase Flow. 3: 445.
 
13.
Dunn P.F. (1980): Single-Phase and Two-Phase Magnetohydrodynamic Pipe Flow. – International Journal of Heat Mass Transfer, vol.23, 373.
 
14.
Dunn P.F. (1980). Single-Phase and Two-Phase Magnetohydrodynamic Pipe Flow International Journal of Heat Mass Transfer. 23: 373.
 
15.
Gherson P. and Lykoudis P.S. (1984): Local measurements in two-phase liquid-metal magneto-fluid mechanic flow. – Journal of Fluid Mechanics, vol.147, pp.81-104.
 
16.
Gherson P., Lykoudis P.S. (1984). Local measurements in two-phase liquid-metal magneto-fluid mechanic flow Journal of Fluid Mechanics. 147: 81-104.
 
17.
Lohrasbi J. and Sahai V. (1989): Magnetohydrodynamic heat transfer in two-phase flow between parallel plates. – Applied Scientific Research, vol.45, pp.53-66.
 
18.
Lohrasbi J., Sahai V. (1989). Magnetohydrodynamic heat transfer in two-phase flow between parallel plates Applied Scientific Research. 45: 53-66.
 
19.
Alireza S. and Sahai V. (1990): Heat transfer in developing magnetohydrodynamic Poiseuille flow and variable transport properties. – International Journal of Heat Mass Transfer, vol.33, No.8, pp.1711-1720.
 
20.
Alireza S., Sahai V. (1990). Heat transfer in developing magnetohydrodynamic Poiseuille flow and variable transport properties International Journal of Heat Mass Transfer. 33 (8): 1711-1720.
 
21.
Serizawa A., Ida T., Takahashi O. and Michiyoshi I. (1990): MHD effect on Nak-nitrogen two-phase flow and heat transfer in a vertical round tube. – International Journal Multi-Phase Flow, vol.16, No.5, p.761.
 
22.
Serizawa A., Ida T., Takahashi O., Michiyoshi I. (1990). MHD effect on Nak-nitrogen two-phase flow and heat transfer in a vertical round tube International Journal Multi-Phase Flow. 16 (5): 761.
 
23.
Malashetty M.S. and Leela V. (1992): Magnetohydrodynamic heat transfer in two phase flow. – International Journal of Engineering Science, vol.30, pp.371-377.
 
24.
Malashetty M.S., Leela V. (1992). Magnetohydrodynamic heat transfer in two phase flow International Journal of Engineering Science. 30: 371-377.
 
25.
Ramadan H.M. and Chamkha A.J. (1999): Two-phase free convection flow over an infinite permeable inclined plate with non-uniform particle-phase density. – International Journal of Engineering Science, vol.37, 1351.
 
26.
Ramadan H.M., Chamkha A.J. (1999). Two-phase free convection flow over an infinite permeable inclined plate with non-uniform particle-phase density International Journal of Engineering Science. 37: 1351.
 
27.
Chamkha A.J. (2000): Flow of two-immiscible fluids in porous and non-porous channels. – ASME Journal of Fluids Engineering, vol.122, pp.117-124.
 
28.
Chamkha A.J. (2000). Flow of two-immiscible fluids in porous and non-porous channels ASME Journal of Fluids Engineering. 122: 117-124.
 
29.
Raju T.L. and Murty P.S.R. (2006): Hydromagnetic two-phase flow and heat transfer through two parallel plates in a rotating system. – Journal of Indian Academy of Mathematics, Indore, India, vol.28, No.2, pp.343-360.
 
30.
Raju T.L., Murty P.S.R. (2006). Hydromagnetic two-phase flow and heat transfer through two parallel plates in a rotating system Journal of Indian Academy of Mathematics, Indore, India. 28 (2): 343-360.
 
31.
Tsuyoshi I. and Shu-Ichiro I. (2008): Two-fluid magnetohydrodynamic simulation of converging Hi flows in the interstellar medium. – The Astrophysical Journal, vol.687, No.1, pp.303-310.
 
32.
Tsuyoshi I., Shu-Ichiro I. (2008). Two-fluid magnetohydrodynamic simulation of converging Hi flows in the interstellar medium The Astrophysical Journal. 687 (1): 303-310.
 
33.
Haim H.B., Jianzhong Z., Shizhi Q. and X. Yu X. (2003): A magneto-hydrodynamically controlled fluidic network. – Sensors and Actuators B, vol.88, No.2, pp.205-216.
 
34.
Haim H.B., Jianzhong Z., Shizhi Q., Yu X. X. (2003). A magneto-hydrodynamically controlled fluidic network Sensors and Actuators B. 88 (2): 205-216.
 
35.
Hussameddine S.K., Martin J.M. and Sang W.J. (2008): Analytical prediction of flow field in magnetohydrodynamic-based microfluidic devices. – Journal of Fluids Engineering, vol.130, No.9, 6.
 
36.
Hussameddine S.K., Martin J.M., Sang W.J. (2008). Analytical prediction of flow field in magnetohydrodynamic-based microfluidic devices Journal of Fluids Engineering. 130: 6.
 
37.
Yi M., Qian S. and Bau H. (2002): A magnetohydrodynamic chaotic stirrer. – Journal of Fluid Mechanics, vol.468, pp.153-177.
 
38.
Yi M., Qian S., Bau H. (2002). A magnetohydrodynamic chaotic stirrer Journal of Fluid Mechanics. 468: 153-177.
 
39.
Weston M.C., Gerner M.D. and Fritsch I. (2010): Magnetic fields for fluid motion. – Analytical Chemistry, vol.82, No.9, pp.3411-3418.
 
40.
Weston M.C., Gerner M.D., Fritsch I. (2010). Magnetic fields for fluid motion Analytical Chemistry. 82 (9): 3411-3418.
 
41.
Hide R. and Roberts P.H. (1961): The origin of the mean geomagnetic field. – In: Physics and Chemistry of the Earth. Pergamon Press, New York, vol.4, pp.27–98.
 
42.
Hide R., Roberts P.H. (1961). Physics and Chemistry of the Earth. 4: 27-98. Pergamon Press, New York.
 
43.
Greenspan H.P. and Howard L.N. (1963): On a time dependent motion of a rotating fluid. – Journal of Fluid Mechanics, vol.17, p.385.
 
44.
Greenspan H.P., Howard L.N. (1963). On a time dependent motion of a rotating fluid Journal of Fluid Mechanics. 17: 385.
 
45.
Dieke R.H. (1970): Internal rotation of the sun. – In: L. Goldberg (eds.), Annual Reviews of Astronomy and Astrophysics, vol.8, Annual Reviews Inc., pp.297–328.
 
46.
Dieke R.H., Goldberg L. (1970). Annual Reviews of Astronomy and Astrophysics, vol.8. 297-328. Annual Reviews Inc.
 
47.
Elco R.A., Hughes W.F. and Young F.J. (1962): Theoretical analysis of the radial filed vortex magneto-gas dynamic generator. – Zeitschrift fur Angewandte Mathematik and Physik (ZAMP), vol.13, pp.1-13.
 
48.
Elco R.A., Hughes W.F., Young F.J. (1962). Theoretical analysis of the radial filed vortex magneto-gas dynamic generator Zeitschrift fur Angewandte Mathematik and Physik (ZAMP). 13: 1-13.
 
49.
Katsurai M. (1972): Studies on the MHD rotating machine. – Electrical Engineering in Japan, vol.92, pp.31-43.
 
50.
Katsurai M. (1972). Studies on the MHD rotating machine Electrical Engineering in Japan. 92: 31-43.
 
51.
Kolesnikov V.K. and Khait V.D. (1975): Nonlinear fluctuations in a MHD generator. – Teplofizika Vysokikh Temperatur, vol.13, pp.601-604.
 
52.
Kolesnikov V.K., Khait V.D. (1975). Nonlinear fluctuations in a MHD generator Teplofizika Vysokikh Temperatur. 13: 601-604.
 
53.
Yantovskiy Y.I. and Tolmach I.M. (1963): On the theory of an asynchronous magnetohydrodynamic generator with a rotating field. – Technical Report, Wright-Patterson Air Force Base, Ohio, USA.
 
54.
Yantovskiy Y.I., Tolmach I.M. (1963). Technical Report. Wright-Patterson Air Force Base, Ohio, USA.
 
55.
Holton J.R. (1965): The influence of viscous boundary layers on transient motions in a stratified rotating fluid. – International Journal of Atmospheric Science, vol.22, p.402.
 
56.
Holton J.R. (1965). The influence of viscous boundary layers on transient motions in a stratified rotating fluid International Journal of Atmospheric Science. 22: 402.
 
57.
Batchlor G.K. (1967): An Introduction to Fluid Dynamics. – I Edition, Cambridge press, Cambridge, UK.
 
58.
Batchlor G.K. (1967). An Introduction to Fluid Dynamics, I Edition. Cambridge press, Cambridge, UK.
 
59.
Gupta A.S. (1972): Magnetohydrodynamic Ekmann layer. – Acta Mechanica, vol.13, pp.155.
 
60.
Gupta A.S. (1972). Magnetohydrodynamic Ekmann layer Acta Mechanica. 13: 155.
 
61.
Tao L.N. (1960): Magnetohydrodynamic effects on the formation of Couette flow. – Journal of Aero/Space Science, vol.27, pp.334-338.
 
62.
Tao L.N. (1960). Magnetohydrodynamic effects on the formation of Couette flow Journal of Aero/Space Science. 27: 334-338.
 
63.
Gupta A.S. (1960): On the flow of an electrically conducting fluid near an accelerated plate in the presence of a magnetic field. – J. Phys. Soc. Japan, vol.15, No.10, pp.1894-1897.
 
64.
Gupta A.S. (1960). On the flow of an electrically conducting fluid near an accelerated plate in the presence of a magnetic field J. Phys. Soc. Japan. 15 (10): 1894-1897.
 
65.
Stanisic M.M., Fetz B.H., Mickelsen Jr. H.P. and Czumak F.M. (1962): On the flow of a hydromagnetic fluid between two oscillating flat plates. – Journal of Aero/Space Science, vol.29, No.1, pp.116-117.
 
66.
Stanisic M.M., Fetz B.H., Mickelsen H.P., Czumak F.M. (1962). On the flow of a hydromagnetic fluid between two oscillating flat plates Journal of Aero/Space Science. 29 (1): 116-117.
 
67.
Katagiri M. (1962): Flow formation in Couette motion in magnetohydrodynamcis. – J. Phys. Soc. Japan, vol.17, No.2, pp.393-396.
 
68.
Katagiri M. (1962). Flow formation in Couette motion in magnetohydrodynamcis J. Phys. Soc. Japan. 17 (2): 393-396.
 
69.
Nanda R.S. and Mohanty H.K. (1971): Hydromagnetic flow in a rotating channel. – Applied Scientific Research, vol.24, p.65.
 
70.
Nanda R.S., Mohanty H.K. (1971). Hydromagnetic flow in a rotating channel Applied Scientific Research. 24: 65.
 
71.
Debnath L. (1972): On unsteady magnetohydrodynamic boundary layers in a rotating system. – ZAMM., vol.52, p.623.
 
72.
Debnath L. (1972). On unsteady magnetohydrodynamic boundary layers in a rotating system ZAMM. 52: 623.
 
73.
Jana R.N., Datta N. and Mazumder B.S. (1977): Magnetohydrodynamic Couette flow and heat transfer in a rotating system. – Journal of the Physical Society of Japan, vol.42, p.1034.
 
74.
Jana R.N., Datta N., Mazumder B.S. (1977). Magnetohydrodynamic Couette flow and heat transfer in a rotating system Journal of the Physical Society of Japan. 42: 1034.
 
75.
Seth G.S., Jana R.N. and Maiti M.K. (1982): Unsteady hydromagnetic Couette flow in a rotating system. – International Journal of Engineering Science, vol.20, p.989.
 
76.
Seth G.S., Jana R.N., Maiti M.K. (1982). Unsteady hydromagnetic Couette flow in a rotating system International Journal of Engineering Science. 20: 989.
 
77.
Ghosh S.K. (1993): Unsteady hydromagnetic flow in a rotating channel with oscillating pressure gradient. – Journal of the Physical Society of Japan, vol.62, p.3893.
 
78.
Ghosh S.K. (1993). Unsteady hydromagnetic flow in a rotating channel with oscillating pressure gradient Journal of the Physical Society of Japan. 62: 3893.
 
79.
Pallath Chandran, Nirmal C. Sacheti and Ashok K. Singh (1998): Unsteady hydromagnetic free convection flow with heat flux and accelerated boundary motion. – J. Phys. Soc. Japan, vol.67, p.124.
 
80.
Chandran Pallath, Sacheti Nirmal C., Singh Ashok K. (1998). Unsteady hydromagnetic free convection flow with heat flux and accelerated boundary motion J. Phys. Soc. Japan. 67: 124.
 
81.
Ghosh S.K. and Bhattacharjee P.K. (2000): Magnetohydrodynamic convective flow in a rotating channel. – Archives of Mechanics, vol.52, p.303.
 
82.
Ghosh S.K., Bhattacharjee P.K. (2000). Magnetohydrodynamic convective flow in a rotating channel Archives of Mechanics. 52: 303.
 
83.
Singh K.D. (2000): An oscillatory hydromagnetic Couette flow in a rotating system. – ZAMM, vol.80, p.429.
 
84.
Singh K.D. (2000). An oscillatory hydromagnetic Couette flow in a rotating system ZAMM. 80: 429.
 
85.
Hayat T., Nadeem S. and Asghar S. (2004): Hydromagnetic Couette flow of an Oldroyd-B fluid in a rotating system. – International Journal of Engineering Science, vol.42, p.65.
 
86.
Hayat T., Nadeem S., Asghar S. (2004). Hydromagnetic Couette flow of an Oldroyd-B fluid in a rotating system International Journal of Engineering Science. 42: 65.
 
87.
Guria M. and Jana R.N. (2007): Hydromagnetic flow in the Ekman layer on an oscillating porous plate. – Magnetohydrodynamics, vol.43, pp.3-11.
 
88.
Guria M., Jana R.N. (2007). Hydromagnetic flow in the Ekman layer on an oscillating porous plate Magnetohydrodynamics. 43: 3-11.
 
89.
Chamkha A.J. (2004): Unsteady MHD convective heat and mass transfer past a semi-infinite vertical permeable moving plate with heat absorption. – International Journal of Engineering Science, vol.42, pp.217-230.
 
90.
Chamkha A.J. (2004). Unsteady MHD convective heat and mass transfer past a semi-infinite vertical permeable moving plate with heat absorption International Journal of Engineering Science. 42: 217-230.
 
91.
Umavathi J.C., Abdul Mateen, Chamkha A.J. and Al-Mudhaf A. (2006): Oscillatory Hartmann two-fluid flow and heat transfer in a horizontal channel. – International Journal of Applied Mechanics and Engineering, vol.11, No.1, pp.155-178.
 
92.
Umavathi J.C., Mateen Abdul, Chamkha A.J., Al-Mudhaf A. (2006). Oscillatory Hartmann two-fluid flow and heat transfer in a horizontal channel International Journal of Applied Mechanics and Engineering. 11 (1): 155-178.
 
93.
Raju T.L. and Sreedhar S. (2009). Unsteady two-fluid flow and heat transfer of conducting fluids in channels under transverse magnetic field. – International Journal of Applied Mechanics and Engineering, vol.14, No.4, pp.1093-1114.
 
94.
Raju T.L., Sreedhar S. (2009). Unsteady two-fluid flow and heat transfer of conducting fluids in channels under transverse magnetic field International Journal of Applied Mechanics and Engineering. 14 (4): 1093-1114.
 
95.
Raju T.L. and Rao B.N. (2014): Unsteady two-layered fluid flow of conducting fluids in a channel between parallel porous plates under transverse magnetic field in a rotating system. – Communicated for favour of publication in International Journal of Applied Mechanics and Engineering.
 
96.
Raju T.L., Rao B.N. (2014). Unsteady two-layered fluid flow of conducting fluids in a channel between parallel porous plates under transverse magnetic field in a rotating system Communicated for favour of publication in International Journal of Applied Mechanics and Engineering. .
 
eISSN:2353-9003
ISSN:1734-4492
Journals System - logo
Scroll to top