Predictions of Heat Transfer and Pressure Drop for a Modified Power Law Fluid Flow in a Square Duct

Dong-Ryul Lee; Simsoo Park

Korean Journal of Chemical Engineering, Vol.18, No.3, 277-284, May, 2001

DOI10.1007/BF02699165 Export Citation

Predictions of Heat Transfer and Pressure Drop for a Modified Power Law Fluid Flow in a Square Duct

Dong-Ryul Lee, and Simsoo Park^{1, †}

School of Mechanical and Automotive Engineering, Catholic University of Daegu, Kyungbuk 712-702, Korea
¹Dept. of Mechanical Engineering, Korea University, Seoul 136-701, Korea

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Numerical Solutions for the Nusselt Numbers (CHF and CWT) and the Friction Factor times Reynolds Number have been obtained for fully developed laminar flow of a MPL (Modified Power Law) fluid within a square duct. The solutions are applicable to pseudoplastic fluids over a wide shear rate range from Newtonian at low shear rates through a transition region to power law behavior at higher shear rates. A shear rate parameter is identified, which allows the prediction of the shear rate range for a specified set of operating conditions. Numerical results of the Nusselt numbers (CHF and CWT) and the Friction factors times Reynolds number for the Newtonian and power law regions are compared with previous published results, showing agreement with 0.02% in Newtonian region and 4.0% in power law region.

Keywords:Modified Power Law;Non-Newtonian Fluid;Pseudoplastic Fluid;Friction Factor;Shear Rate Parameter

[References]

Aris R, "Tensors and the Basic Equations of Fluid Mechanics," Prentice-Hall, New York (1962)
Bird RB, Armstrong RC, Hassager O, "Dynamics of Polymeric Liquids: Vol. 1 Fluid Dynamics," John Wiley & Sons, New York (1977)
Brewster RA, Irvine TF, Warme und Stoffubertragung, 21, 83 (1987)
Capobianchi M, Irvine TF, Warme und Stoffubertragung, 27, 209 (1992)
Carreau PJ, Trans. Soc. Rheol., 16, 99 (1972)
Chandrupatla AR, "Analytical and Experimental Studies of Flow and heat Transfer Characteristics of a Non-Newtonian Fluid in a Square Duct," Ph.D. Thesis, Indian Institute of Technology, Madras, India (1977)
Cross MM, J. Colloid Interface Sci., 20, 417 (1965)
Dunleavy JE, Middleman S, Trans. Soc. Rheol., 10, 151 (1966)
Hartnett JP, Kostic M, "Heat Transfer in Rectangular Ducts, Advances in Heat Transfer," T.F. Irvine, Jr. and J.P Hartnett, eds., Academic Press, New York (1989)
Incropera F, Dewitt D, "Introduction to Heat Transfer," John Wiley and Sons, Inc., New York (1996)
Kozicki W, Chou CH, Tiu C, Chem. Eng. Sci., 21, 665 (1966)
Kozicki W, Tiu C, Can. J. Chem. Eng., 49, 562 (1971)
Lee DR, Korean J. Chem. Eng., 15(3), 252 (1998)
Park S, "Pressure Drop for a Modified Power Law Fluid Flow in a Rectangular Duct," Ph.D. Thesis, Mechanical Eng. Dept., State Univ. of New York (1991)
Park S, Irvine TF, Capobianchi M, "Experimental and Numerical Study of Friction Factor for a Modified Power Law Fluid Flow in a Rectangular Duct," Experimental Heat Transfer, Fluid Mechanics and Thermodynamics, Elsevier, New York, 900 (1993)
Rothfus RR, Kermode RI, Hackworth JH, Chem. Eng., 71, 175 (1964)
Shah RK, London AL, "Laminar Flow Forced Convection in Ducts, Supplement 1 to Advances in Heat Transfer," T.F. Irvine, Jr. and J.P Hartnett, eds., Academic Press, New York (1978)
Sutterby JL, AIChE J., 12, 63 (1966)
Wheeler JA, Wissler EH, AIChE J., 11, 207 (1965)
Yang J, Park MW, Chang JW, Ko SM, Lee CH, Korean J. Chem. Eng., 15(2), 211 (1998)

[Referenced By]

[1] Aris R, "Tensors and the Basic Equations of Fluid Mechanics," Prentice-Hall, New York (1962)

[2] Bird RB, Armstrong RC, Hassager O, "Dynamics of Polymeric Liquids: Vol. 1 Fluid Dynamics," John Wiley & Sons, New York (1977)

[3] Brewster RA, Irvine TF, Warme und Stoffubertragung, 21, 83 (1987)

[4] Capobianchi M, Irvine TF, Warme und Stoffubertragung, 27, 209 (1992)

[5] Carreau PJ, Trans. Soc. Rheol., 16, 99 (1972)

[6] Chandrupatla AR, "Analytical and Experimental Studies of Flow and heat Transfer Characteristics of a Non-Newtonian Fluid in a Square Duct," Ph.D. Thesis, Indian Institute of Technology, Madras, India (1977)

[7] Cross MM, J. Colloid Interface Sci., 20, 417 (1965)

[8] Dunleavy JE, Middleman S, Trans. Soc. Rheol., 10, 151 (1966)

[9] Hartnett JP, Kostic M, "Heat Transfer in Rectangular Ducts, Advances in Heat Transfer," T.F. Irvine, Jr. and J.P Hartnett, eds., Academic Press, New York (1989)

[10] Incropera F, Dewitt D, "Introduction to Heat Transfer," John Wiley and Sons, Inc., New York (1996)

[11] Kozicki W, Chou CH, Tiu C, Chem. Eng. Sci., 21, 665 (1966)

[12] Kozicki W, Tiu C, Can. J. Chem. Eng., 49, 562 (1971)

[13] Lee DR, Korean J. Chem. Eng., 15(3), 252 (1998)

[14] Park S, "Pressure Drop for a Modified Power Law Fluid Flow in a Rectangular Duct," Ph.D. Thesis, Mechanical Eng. Dept., State Univ. of New York (1991)

[15] Park S, Irvine TF, Capobianchi M, "Experimental and Numerical Study of Friction Factor for a Modified Power Law Fluid Flow in a Rectangular Duct," Experimental Heat Transfer, Fluid Mechanics and Thermodynamics, Elsevier, New York, 900 (1993)

[16] Rothfus RR, Kermode RI, Hackworth JH, Chem. Eng., 71, 175 (1964)

[17] Shah RK, London AL, "Laminar Flow Forced Convection in Ducts, Supplement 1 to Advances in Heat Transfer," T.F. Irvine, Jr. and J.P Hartnett, eds., Academic Press, New York (1978)

[18] Sutterby JL, AIChE J., 12, 63 (1966)

[19] Wheeler JA, Wissler EH, AIChE J., 11, 207 (1965)

[20] Yang J, Park MW, Chang JW, Ko SM, Lee CH, Korean J. Chem. Eng., 15(2), 211 (1998)