KERİM SÖNMEZ, M.Enes KUYUMCU, Pınar ALTUNTAŞ YAĞLICA, AHMET KAYA

GÖZENEKLİ BİR ORTAMDAKİ DÜŞEY PLAKA ÜZERİNDEN OLAN AKIŞA BİRLEŞİK ISI TRANSFERİ VE ISI ÜRETİMİNİN ETKİSİ

Özet: Bu çalışmada, gözenekli bir ortamdaki düşey bir levha üzerinde olan akışa birleşik ısı transferi (conjugate) ve ısı üretiminin etkisi araştırılmıştır. Levha sonlu bir kalınlığa sahip ve bir yüzeyi sonlu bir sıcaklıkta tutulmaktadır. Akış alanında hız ve sıcaklık dağılımını belirlemek için, Navier-Stokes ve enerji denklemleri benzerlik yöntemiyle sınır tabaka denklemlerine dönüştürülmüştür. Daha sonra bu denklemeler Keller-box yöntemiyle nümerik olarak çözülmüştür. Birleşik (conjugate) ısı transferi ve ısı üretimi parametrelerinin hız ve sıcaklık profilleri ile yerel sürtünme katsayısı ve yerel ısı transfer parametrelerine etkisi belirlenmiştir. Nümerik yöntemin doğruluğunu sınamada, bazı özel limit durumlar için elde edilen sonuçlar, literatürde verilen sonuçlarla karşılaştırılmış ve mükemmel bir uyum elde edilmiştir.

EFFECTS OF CONJUGATE HEAT TRANSFER AND HEAT GENARATION FLOW OVER ON A VERTICAL PLATE EMBEDDED IN A POROUS MEDIA

In this study, the effects of conjugate heat transfer and heat generation flow over a vertical plate embedded in a porous medium have been investigated. The plate has a finite thickness and one side is held a finite temperature. In order to determine the velocity and temperature distributions in the flow area, the equations of Navier-Stokes and energy are transformed into the boundary layer equations using the similarity method. Then these equations solved numerically using the Keller box method. The effects of the conjugate heat transfer and the heat generation parameters on the velocity and temperature profiles as well as on the local skin friction and local heat transfer are determined. Testing the accuracy of the numerical method, the results are compared with those available in the existing literatüre and an excellent agreement is obtained.

PDF

___

1. Aydın, O., Kaya, A., 2007, Mixed convection of a viscous dissipating fluid about a vertical flat plate, Appl. Math. Model. 31, 843853.
2. Baytaş, A.C., 2006, Gözenekli ortamlarda taşınım olayı, İTÜ Dergisi, Fen Bilimleri, 4(1), 3-13.
3. Cebeci, T., Bradshaw, P., 1977, Momentum Transfer in Boundary layers, Hemisphere, Washington D.C., USA.
4. Chamkha, A.J., 1997, Hydromagnetic natural convection from an isothermal inclined surface adjacent to a thermally stratified porous medium, Int. J. Eng. Sci. 35, 975-986.
5. Chamkha, A.J., Issa, C., Khanafer, K., 2002, Natural convection from an inclined plate embedded in a variable porosity porous medium due to solar radiation, Int. J. Therm. Sci. 41, 7381.
6. Chang, C.L., 2006, Numerical simulation of micropolar fluid flow along a flat plate with wall conduction and buoyancy effects, J. Phys. D: Appl. Phys. 39, 11321140.
7. Chang, C.L., 2008, Numerical simulation for natural convection of micropolar fluids flow along slender hollow circular cylinder with wall conduction effect, Commun. Nonlinear Sci. Numer. Simul. 13, 624636.
8. Char, M.I., Chen, C.K., Cleaver, J.W., 1990, Conjugate forced convection heat transfer from a continuous, moving flat sheet, Int. J. Heat Fluid Fl. 11, 257261.
9. Hossain, M.A., Nakayama, A., Pop, I., 1995, Conjugate free-convection of non-Newtonian fluids about avertical cylindrical fin in porous-media, Heat Mass Transfer. 30, 149-153.
10. Ingham, D.B., Pop, I., 1998, Transport Phenomena in Porous Media I, Pergamon , New York.
11. Ingham, D.B., Pop, I., 2002, Transport Phenomena in Porous Media II, Pergamon, New York.
12. Kaviany, M., 1995, Principles of Heat Transfer in Porous Media, Springer, New York.
13. Lauriat, G., Ghafir, R., 2000, Forced convective heat transfer in porous media, In K. Vafai, H.Hadim, Handbook of Porous Media, Marcel Dekker, New York, 201204.
14. Mamun, A.A., Chowdhury, Z.R., Azim, M.A., Maleque, M.A., 2008, Conjugate heat transfer for a vertical flat plate with heat generation effect, Nonlinear Analysis: Model. Cont. 13(2), 213223.
15. Lloyd, J.R., Sparrow, M., 1970, Combined force and free convection flow on vertical surfaces, Int. J. Heat Mass Tran. 13, 434438.
16. Mendez, F., Trevino, C., Pop, I., Linan , A., 2002, Conjugate free convection along a thin vertical plate with internal nonuniform heat generation in a porous medium, Heat Mass Transfer. 38, 631 638.
17. Miyamoto, M., Sumikawa, J., Akıyohi, T., Nakamura, T., 1980, Effects of axial heat conduction in a vertical flat plate on free convection heat transfer, Int. J. Heat Mass Transf. 23, 1545-1553.
18. Nield, D.A., Bejan, A., 1999, Convection in Porous Media, Springer, New York.
19. Pop, I., Ingham, B., Yuan, Y., 1996, Mixed Convective Conjugate Heat Transfer from a Vertical Flat Plate, ZAMM Z. Angew. Math. Me. 76 (5), 281 -289.
20. Pop, I., Ingham, D.B., 2001, Convective Heat Transfer, Pergamon, Amsterdam.
21. Pop, I., Na, Y., 2000, Conjugate free convection over a vertical slender hollow cylinder embedded in a porous medium, Heat Mass Transfer 36, 375-379.
22. Pozzi, A., Lupo, M., 1988, The coupling of conduction with laminar natural convection along a flat plate, Int. J. Heat Mass Tran. 31, 18071814.
23. Takhar, H.S., Beg, O.A., 1997, 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, Int. J. Energy Res. 21, 87100.
24. Vaszi, A. Z., Ingham, D.B., Lesnic, D., Munslow, D., Pop, I., 2001, Conjugate free convection from a slightly inclined plate embedded in a porous medium, ZAMM Z. Angew. Math. Me. 81 (7), 465479.