Affiliations: Department of Mechanical Engineering, FAMU - FSU
College of Engineering, Florida A & M University - Florida State
University, 2525 Pottsdamer St., Tallahassee, FL 32310-6046, U.S.A. E-mail:
cjchen@eng.fsu.edu, http://ceb213.eng.fsu.edu
Abstract: This paper presents the numerical modeling of complex flows and heat
transfer. The Finite Analytic method is used to discretize the transport
equations. The diagonal Cartesian method is proposed to model fluid flows and
heat transfer over complex geometries. A three-dimensional channel flow with
conjugate heat transfer is simulated. By the diagonal Cartesian method and
5-point Finite Analytic scheme, a grooved channel flow and flow in a casting
bank at different Reynolds numbers are modeled. Simulations by both the
diagonal Cartesian method and the traditional saw-tooth Cartesian method
indicates the diagonal Cartesian method improves the modeling of flows, due to
the more accurate approximation of complex boundaries. Heat transfer in
two-dimensional finned compact heat exchanger is also studied. An improved heat
exchanger is proposed based on the numerical prediction of heat transfer.
Keywords: complex flow, Cartesian, diagonal, finite analytic, conjugate heat transfer