TY - JOUR
T1 - Strongly coupled block-implicit solution technique for non-newtonian convective heat transfer problems
AU - Vradis, George C.
AU - Hammad, Khaled J.
N1 - Funding Information:
Received 26 February 1997; accepted 14 August 1997. This research work was partially supported by the Pittsburgh Supercomputing Center through Grant MSM890007P and by the EXXON Education Foundation. Khaled J. Hammad is presently a Research Scientist at the Pacific Northwest Laboratory, Richland, Washington. Address correspondence to Dr: George C. Vradis, Mechanical, Aerospace, and Manufacturing Engineering Department, Polytechnic University, Six Metrotech Center, Brooklyn, New York, 11201, USA. E-mail: [email protected]
PY - 1998
Y1 - 1998
N2 - A finite-difference-based method is presented for the solution of fluid mechanics and convective heat transfer problems related to the flow of purely viscous non-Newtonian fluids with or without a yield stress. The method is based on a block-implicit formulation of the discretited governing equations in which the continuity, momentum, and energy equations are all solved simultaneously along grid lines. A number of flow problems have been solved involving both attached and separated flows of power-law, Bingham, and Herschel-Bulkley fluids, demonstrating a robust algorithm with the ability to solve such problems efficiently and accurately.
AB - A finite-difference-based method is presented for the solution of fluid mechanics and convective heat transfer problems related to the flow of purely viscous non-Newtonian fluids with or without a yield stress. The method is based on a block-implicit formulation of the discretited governing equations in which the continuity, momentum, and energy equations are all solved simultaneously along grid lines. A number of flow problems have been solved involving both attached and separated flows of power-law, Bingham, and Herschel-Bulkley fluids, demonstrating a robust algorithm with the ability to solve such problems efficiently and accurately.
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U2 - 10.1080/10407799808915024
DO - 10.1080/10407799808915024
M3 - Article
AN - SCOPUS:0031640703
SN - 1040-7790
VL - 33
SP - 79
EP - 97
JO - Numerical Heat Transfer, Part B: Fundamentals
JF - Numerical Heat Transfer, Part B: Fundamentals
IS - 1
ER -