Abstract
In this study, effects of magnetic field, conjugate heat transfer and buoyancy have been numerically investigated on flow over a thin vertical plate. The fluid is assumed to be incompressible and dense. The nonlinear coupled parabolic partial differential equations governing the flow are transformed into the boundary layer equations, which are then solved numerically using the Keller box method. The effects of the conjugate heat transfer parameter p, the mixed convection parameter Ri, the magnetic parameter Mn and the electric field parameter E1 on the velocity and temperature profiles as well as on the local skin friction and local heat transfer are presented and analyzed. The validity of the methodology and analysis is checked by comparing the results obtained for some specific cases with those available in the literature.
References
- Mamun, A.A., Chowdhury, Z.R., Azim, M.A. and Maleque, M.A., “Conjugate heat transfer for a vertical flat plate with heat generation effect”, Nonlinear Analysis: Modelling and Control, 13(2), 213–223, 2008.
- Chang C.L., “Numerical simulation of micropolar fluid flow along a flat plate with wall conduction and buoyancy effects”, Journal of Physics D: Applied Physics, 39, 1132–1140, 2006.
- Miyamoto, M., Sumikawa, J., Akıyohi, T. and Nakamura, T., “Effects of axial heat conduction in a vertical flat plate on free convection heat transfer”, International Journal of Heat and Mass Transfer, 23, 1545-1553, 1980.
- Sparrow, E.M. and Chyu, M.K., “Conjugated forced convection–conduction analysis of heat transfer in a plate fin”, ASME Journal of Heat Transfer, 104, 204–206, 1982.
- Char, M.I., Chen, C.K. and Cleaver, J.W., “Conjugate forced convection heat transfer from a continuous, moving flat sheet”, International Journal of Heat and Fluid Flow, 11, 57–261, 1990. Wang, T.Y., “The coupling of conduction with mixed convection of micropolar fluids past a vertical flat plate”, International Communications in Heat and Mass Transfer, 25(8), 1075-1084, 19
- Pop, I., Ingham, B. and Yuan, Y., “Mixed convective conjugate heat transfer from a vertical flat plate”, ZAMM-Zeitschrift Fur Angewandte Mathematik und Mechanik, 76 (5), 281-289, 1996.
- Hsiao, K.L. and Hsu, C.H., “Conjugate heat transfer of mixed convection for viscoelastic fluid past a horizontal flat-plate fin”, Applied Thermal Engineering, 29, 28–36, 2009.
- Pal, D. and Mondal, H., “Hydromagnetic nonDarcy flow and heat transfer over a stretching sheet in the presence of thermal radiation and Ohmic dissipation”, Communucation Nonlinear Science Numerical Simulation, 15, 1197–1209, 20
- Cebeci, T. and Bradshaw, P., Momentum Transfer in Boundary layers, Hemisphere Publishing Corp. Washington DC, 1977.
- Takhar, H.S. and Beg, O.A., “Effects of transverse magnetic field, Prandtl number and Reynolds number on non-darcy mixed convective flow of an incompressible viscous fluid past a porous vertical flat plate in a saturated porous medium”, International Journal of Energy Resource, 21, 87– 100, 1997.
- Lloyd, J.R. and Sparrow, M., “Combined force and free convection flow on vertical surfaces”, International Journal of Heat and Mass Transfer, 13, 434–438, 1970.
Düşey İnce Bir Plaka Üzerinden Olan Akışa Manyetik Alan, Kaldırma Kuvveti Ve Birleşik Isı Transferinin Etkisi
Abstract
Bu çalışmada, dikey ince bir levha üzerinden akışa manyetik alan, birleşik ısı transferi ve kaldırma kuvveti etkileri numerik olarak araştırılmıştır. Akışkanın sıkıştırılamaz ve yoğun olduğu varsayılmıştır. Akışı karakterize eden, lineer olmayan bağımlı parabolik kısmi diferansiyel denklemler sınır tabaka denklemlerine dönüştürülmüş, sonrasında ise Keller-box metodu kullanılarak numerik çözülmüştür. Birleşik ısı transferi parametresi p, kaldırma kuvveti etkisi Ri, manyetik alan etkisi Mn ve elektrik alan etkisinin E1 sınır tabaka içindeki hız ve sıcaklık ile local sürtünme ve local ısı transferi parametrelerine etkisi gösterilmiştir. Kullanılan yöntemin doğruluğu literatürde bazı özel durumlar için elde edilen sonuçlarla karşılaştırılmıştır.
References
- Mamun, A.A., Chowdhury, Z.R., Azim, M.A. and Maleque, M.A., “Conjugate heat transfer for a vertical flat plate with heat generation effect”, Nonlinear Analysis: Modelling and Control, 13(2), 213–223, 2008.
- Chang C.L., “Numerical simulation of micropolar fluid flow along a flat plate with wall conduction and buoyancy effects”, Journal of Physics D: Applied Physics, 39, 1132–1140, 2006.
- Miyamoto, M., Sumikawa, J., Akıyohi, T. and Nakamura, T., “Effects of axial heat conduction in a vertical flat plate on free convection heat transfer”, International Journal of Heat and Mass Transfer, 23, 1545-1553, 1980.
- Sparrow, E.M. and Chyu, M.K., “Conjugated forced convection–conduction analysis of heat transfer in a plate fin”, ASME Journal of Heat Transfer, 104, 204–206, 1982.
- Char, M.I., Chen, C.K. and Cleaver, J.W., “Conjugate forced convection heat transfer from a continuous, moving flat sheet”, International Journal of Heat and Fluid Flow, 11, 57–261, 1990. Wang, T.Y., “The coupling of conduction with mixed convection of micropolar fluids past a vertical flat plate”, International Communications in Heat and Mass Transfer, 25(8), 1075-1084, 19
- Pop, I., Ingham, B. and Yuan, Y., “Mixed convective conjugate heat transfer from a vertical flat plate”, ZAMM-Zeitschrift Fur Angewandte Mathematik und Mechanik, 76 (5), 281-289, 1996.
- Hsiao, K.L. and Hsu, C.H., “Conjugate heat transfer of mixed convection for viscoelastic fluid past a horizontal flat-plate fin”, Applied Thermal Engineering, 29, 28–36, 2009.
- Pal, D. and Mondal, H., “Hydromagnetic nonDarcy flow and heat transfer over a stretching sheet in the presence of thermal radiation and Ohmic dissipation”, Communucation Nonlinear Science Numerical Simulation, 15, 1197–1209, 20
- Cebeci, T. and Bradshaw, P., Momentum Transfer in Boundary layers, Hemisphere Publishing Corp. Washington DC, 1977.
- Takhar, H.S. and Beg, O.A., “Effects of transverse magnetic field, Prandtl number and Reynolds number on non-darcy mixed convective flow of an incompressible viscous fluid past a porous vertical flat plate in a saturated porous medium”, International Journal of Energy Resource, 21, 87– 100, 1997.
- Lloyd, J.R. and Sparrow, M., “Combined force and free convection flow on vertical surfaces”, International Journal of Heat and Mass Transfer, 13, 434–438, 1970.
Details
| Primary Language | English |
|---|---|
| Journal Section | Research Articles |
| Authors | |
| Publication Date | August 17, 2013 |
| Submission Date | April 5, 2013 |
| Published in Issue | Year 2013Volume: 16 Issue: 1 |