등온으로 가열되는 경사진 평판위를 흐르는 자연대류의 열적 불안정성

전영호; 최창균

HWAHAK KONGHAK, Vol.29, No.3, 381-387, June, 1991

Export Citation

등온으로 가열되는 경사진 평판위를 흐르는 자연대류의 열적 불안정성

Thermal Instability of Natural Convection over Inclined Isothermally Heated Plates

전영호, 최창균

초록

등온으로 가열되는 경사진 평판위의 층류 자연대류 유동에서 2차적인 정규 와동의 바라생조건을 이론적으로 조사하였다. 본 연구를 위하여 선형 안전성 이론과 크기위수 해석을 근거로 교란량들의 주 흐름방향의 변화를 고려하는 전파이론이 적용되었다. Prandtl수가 매우 큰 극한 경우에 대하여 임계 조건을 구하여 본 결과, 그 임계 조건은 기존의 연구결과들보다 물에 대한 실험치에 보다 접근함을 보였다.

A theoretical study for analyzing onset conditions of secondary flow in the form of vortex rolls in the primary natural convection over an inclined isothermally heated plate is carried out by employing the order-of-magnitude analysis under linear stability theory. For this purpose the propagation theory consid-ering the variation of disturbances in the main flow direction is tested here. The present critical conditions for the infinite Prandtl number are found to approach the experimental data of water more closely than other theoretical results.

[References]

Ostrach S, NACA Report 1111 (1953)
Sparrow EM, Husar RB, J. Fluid Mech., 37, 251 (1969)
Lloyd JR, Sparrow EM, J. Fluid Mech., 42, 465 (1970)
Hwang GJ, Cheng KC, Can. J. Chem. Eng., 51, 659 (1973)
Haaland SE, Sparrow EM, Int. J. Heat Mass Transf., 16, 2355 (1973)
Choi CK, Ph.D. Thesis, Charkson Univ., Potsdam, N.Y. (1976)
Davis EJ, Choi CK, J. Fluid Mech., 81, 565 (1977)
Choi CK, Kim MC, Proc. 9th Int. Heat Transfer Conf., Jerusalem, Vol. 2, p. 519 (1990)
Kim MC, Choi CK, Davis EJ, Int. J. Eng. Fluid Mech., 3, 71 (1990)
Yoon DY, Choi CK, Proc. 2nd KSME-JSME Fluids Eng. Conf., Seoul, Vol.1, p. 12 (1990)
Lee JD, Choi CK, Shin CB, Int. Chem. Eng., 30, 761 (1990)
Ruckenstein E, AIChE J., 26, 850 (1980)
LeFevre EJ, Proc. Int. Cong. Applied Mech., 4, 168 (1957)
Choi CK, Yoo JY, Lee HI, Trans. Korean Soc. Mech. Eng., 8, 141 (1984)
Chen K, Chen MM, J. Heat Trans., 106, 284 (1984)

[Referenced By]

[1] Ostrach S, NACA Report 1111 (1953)

[2] Sparrow EM, Husar RB, J. Fluid Mech., 37, 251 (1969)

[3] Lloyd JR, Sparrow EM, J. Fluid Mech., 42, 465 (1970)

[4] Hwang GJ, Cheng KC, Can. J. Chem. Eng., 51, 659 (1973)

[5] Haaland SE, Sparrow EM, Int. J. Heat Mass Transf., 16, 2355 (1973)

[6] Choi CK, Ph.D. Thesis, Charkson Univ., Potsdam, N.Y. (1976)

[7] Davis EJ, Choi CK, J. Fluid Mech., 81, 565 (1977)

[8] Choi CK, Kim MC, Proc. 9th Int. Heat Transfer Conf., Jerusalem, Vol. 2, p. 519 (1990)

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

[10] Yoon DY, Choi CK, Proc. 2nd KSME-JSME Fluids Eng. Conf., Seoul, Vol.1, p. 12 (1990)

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

[12] Ruckenstein E, AIChE J., 26, 850 (1980)

[13] LeFevre EJ, Proc. Int. Cong. Applied Mech., 4, 168 (1957)

[14] Choi CK, Yoo JY, Lee HI, Trans. Korean Soc. Mech. Eng., 8, 141 (1984)

[15] Chen K, Chen MM, J. Heat Trans., 106, 284 (1984)