Numerical solutions for laminar heat transfer of a non-Newtonian fluid in the thermal entrance region of a square duct are presented for three thermal boundary conditions. The power-law model characterises the non-Newtonian behavior. The numerical results show that for each flow behavior index the Nusselt number decreases from a maximum value at the entry plane to a limiting value when both velocity and temperature profiles are fully developed. The results are compared with the available solutions for Newtonian fluid and excellent agreement is found. © 1977.

V. M.K. Sastri

FLOW OF FLUIDS - DUCTS

Heat transfer

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

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IIT Madras

Laminar forced convection heat transfer of a non-newtonian fluid in a square duct

International Journal of Heat and Mass Transfer

Forced-convection heat transfer information as a function of the pertinent nondimensional numbers is obtained numerically for laminar incompressible non-Newtonian fluid flow in the entrance region of a square duct with simultaneously developing temperature and velocity profiles for constant axial wall heat flux with uniform peripheral wall temperature. The power-law model characterizes the non-Newtonian behavior. Finite-difference representations are developed for the equations of the mathematical model, and numerical solutions are obtained assuming uniform inlet velocity and temperature distributions. Results are presented for local and mean Nusselt numbers as functions of the Graetz number and the Prandtl number in the entrance region. Comparisons are made with previous analytical work for Newtonian fluids. The results show a strong effect of the Prandtl number on the Nusselt numbers with fully developed and uniform velocity profiles representing the lower and upper limits, respectively. The results provide a new insight into the true three-dimensional character of the pseudoplastic fluid flow in the entrance region of a square duct and are accurate. © 1978 Taylor 8 Francis Group, LLC.

Numerical Heat Transfer

Laminar flow and heat transfer to a non-newtonian fluid in an entrance region of a square duct with prescribed constant axial wall heat flux

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Nuclear Engineering and Design

Forced convection heat transfer in rectangular ducts—general case of wall resistances and peripheral conduction for ventilation cooling of nuclear waste repositories

Laminar Flow Forced Convection in Ducts

Dimensionless Groups and Generalized Solutions

Heat transfer in fully developed laminar flow through rectangular and isosceles triangular ducts

The Canadian Journal of Chemical Engineering

Simultaneous development of velocity and temperature profiles for laminar flow of a non-Newtonian fluid in the entrance region of flat ducts

Journal	International Journal of Heat and Mass Transfer
ISSN	00179310
Open Access	No