아래로부터 균일하게 가열되는 수평 유체층에서 자연대류 및 열전달에 대한 Prandtl수의 영향

이종대; 최창균

HWAHAK KONGHAK, Vol.31, No.3, 338-345, June, 1993

Effects of Prandtl Numbers on Natural Convection and Heat Transfer in a Horizontal Fluid Layer Heated Uniformly from Below

이종대, 최창균

초록

하부면으로부터 일정 열속으로 가열되는 초기에 정지된 유체층에서 자연대류 발생시점이 전파이론을 적용함으로서 해석되었다. 유한한 Prandtl수（0.01 <= Pr <= 100）에 대한 안정성 판별기준을 Rayleigh수와 Prandtl수의 함수로서 결정론적으로 구하였다. 열적 불안정성에 관한 이론적인 임계조건들을 난류 열대류와 연관시킴으로써, 새로운 열전달 상관 관계식이 제시되었다. 이와 같은 상관식은 기존의 실험결과들과 매우 잘 일치함을 알 수 있다.

The onset of natural convection in an initially quiescent fluid layer heated uniformly from below has been analysed by employing the propagation theory. The stability criteria for finite Prandtl numbers（0.01 <= Pr <= 100） have been obtained deterministically as a function of both the Rayleigh number and the Prandtl number. A new heat transfer correlation connecting the theoretical critical condition has been suggested. It is found that this correlation agrees reasonably well with the extant experimental data.

[References]

Morton BR, J. Mech. Appl. Mach., 10, 433 (1957)
Forster TD, Phys. Fluids, 8, 1249 (1965)
Jhaveri SB, Homsy MG, J. Fluid Mech., 114, 251 (1982)
Choi CK, Kim JJ, Hwang ST, Korean J. Chem. Eng., 2(1), 17 (1985)
Choi CK, Shin CB, Hwang ST, Proc. 8th Int. Heat Transfer Conf., pp. 1389-1394, San Francisco, Aug. 17-22 (1986)
Yoo JS, Choi CK, Korean J. Chem. Eng., 4(2), 128 (1987)
Kim MC, Choi CK, Davis EJ, Int. J. Eng. Fluid Mech., 3, 71 (1990)
Ahn DJ, Choi CK, Korean J. Chem. Eng., 5(2), 170 (1988)
Yoon DY, Choi CK, Yoo JS, HWAHAK KONGHAK, 26(6), 607 (1988)
Lee JD, Choi CK, Shin CB, Int. Chem. Eng., 30(4), 761 (1990)
Lee JD, Choi CK, Yoon DY, The First KSME-JSME Thermal and Fluids Eng. Conf., 2, pp. 342-347, Seoul, Nov. 1-3 (1988)
Davenport IF, King CJ, Int. J. Heat Mass Transf., 17, 69 (1974)
Nielsen RC, Sabersky RH, Int. J. Heat Mass Transf., 16, 2407 (1973)
Choi CK, Lee JD, Hwang ST, Yoo JS, HWAHAK KONGHAK, 27(4), 374 (1989)
Kim KH, Kim MU, Int. J. Heat Mass Transf., 29(2), 193 (1986)
Howard LN, Proc. 11th Int. Cong. Applied MEch., pp. 1109-1115, Munich (1964)
Busse FH, J. Math. Phys., 46(2), 140 (1967)
Gough DO, Spiegel EA, Toomre J, J. Fluid Mech., 68, 695 (1975)
Cheung FB, Int. J. Heat Mass Transf., 100, 416 (1978)

[Referenced By]

[1] Morton BR, J. Mech. Appl. Mach., 10, 433 (1957)

[2] Forster TD, Phys. Fluids, 8, 1249 (1965)

[3] Jhaveri SB, Homsy MG, J. Fluid Mech., 114, 251 (1982)

[4] Choi CK, Kim JJ, Hwang ST, Korean J. Chem. Eng., 2(1), 17 (1985)

[5] Choi CK, Shin CB, Hwang ST, Proc. 8th Int. Heat Transfer Conf., pp. 1389-1394, San Francisco, Aug. 17-22 (1986)

[6] Yoo JS, Choi CK, Korean J. Chem. Eng., 4(2), 128 (1987)

[7] Kim MC, Choi CK, Davis EJ, Int. J. Eng. Fluid Mech., 3, 71 (1990)

[8] Ahn DJ, Choi CK, Korean J. Chem. Eng., 5(2), 170 (1988)

[9] Yoon DY, Choi CK, Yoo JS, HWAHAK KONGHAK, 26(6), 607 (1988)

[10] Lee JD, Choi CK, Shin CB, Int. Chem. Eng., 30(4), 761 (1990)

[11] Lee JD, Choi CK, Yoon DY, The First KSME-JSME Thermal and Fluids Eng. Conf., 2, pp. 342-347, Seoul, Nov. 1-3 (1988)

[12] Davenport IF, King CJ, Int. J. Heat Mass Transf., 17, 69 (1974)

[13] Nielsen RC, Sabersky RH, Int. J. Heat Mass Transf., 16, 2407 (1973)

[14] Choi CK, Lee JD, Hwang ST, Yoo JS, HWAHAK KONGHAK, 27(4), 374 (1989)

[15] Kim KH, Kim MU, Int. J. Heat Mass Transf., 29(2), 193 (1986)

[16] Howard LN, Proc. 11th Int. Cong. Applied MEch., pp. 1109-1115, Munich (1964)

[17] Busse FH, J. Math. Phys., 46(2), 140 (1967)

[18] Gough DO, Spiegel EA, Toomre J, J. Fluid Mech., 68, 695 (1975)

[19] Cheung FB, Int. J. Heat Mass Transf., 100, 416 (1978)