Open Access
ARTICLE
EFFECTS OF VISCOUS DISSIPATION AND AXIAL HEAT CONDUCTION ON FORCED CONVECTION FLOW OF HERSCHELBULKLEY FLUID IN CIRCULAR DUCT WITH AXIALLY VARIABLE WALL HEAT FLUX
Rabha Khatyr*, Jaafar Khalid Naciri
Laboratory of Mechanics, Faculty of Sciences Aïn Chock, B.P. 5366, Maarif, Hassan II University, Casablanca 20100, Morocco
* Corresponding Author: Email:
Frontiers in Heat and Mass Transfer 2020, 15, 1-11. https://doi.org/10.5098/hmt.15.5
Abstract
The present study focuses on the effects of viscous dissipation and axial heat conduction on the asymptotic behavior of the laminar forced convection
in a circular duct for a Herschel-Bulkley fluid with variable wall heat flux. Analytical asymptotic solutions are presented for the case of axial variations
of the wall heat flux, with finite non-vanishing values at infinity along the flow direction. The asymptotic bulk and mixing Nusselt numbers and the
asymptotic bulk and mixing temperature distributions are evaluated analytically in the case of axially variable wall heat flux for which polynomial and
logarithmic functions are considered as examples. It is shown that the asymptotic bulk Nusselt number depends on the dimensionless radius of the plug
flow region
a, on the power-law exponent n, on the Peclet number
Pe and the asymptotic Brinkman number
Keywords
Cite This Article
Khatyr, R., Naciri, J. K. (2020). EFFECTS OF VISCOUS DISSIPATION AND AXIAL HEAT CONDUCTION ON FORCED CONVECTION FLOW OF HERSCHELBULKLEY FLUID IN CIRCULAR DUCT WITH AXIALLY VARIABLE WALL HEAT FLUX.
Frontiers in Heat and Mass Transfer, 15(1), 1–11. https://doi.org/10.5098/hmt.15.5