TY - EJOU
AU - Khatyr, Rabha
AU - Naciri, Jaafar Khalid
TI - EFFECTS OF VISCOUS DISSIPATION AND AXIAL HEAT CONDUCTION ON FORCED CONVECTION FLOW OF HERSCHELBULKLEY FLUID IN CIRCULAR DUCT WITH AXIALLY VARIABLE WALL HEAT FLUX
T2 - Frontiers in Heat and Mass Transfer
PY - 2020
VL - 15
IS - 1
SN - 2151-8629
AB - 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 *
KW - **Laminar forced convection; Viscous dissipation; Herschel-Bulkley fluid; Analytical Methods; Asymptotic behavior.*
DO - 10.5098/hmt.15.5