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

Laminar forced convection; Viscous dissipation; Herschel-Bulkley fluid; Analytical Methods; Asymptotic behavior.

---

Cite This Article

APA Style

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

Vancouver Style

Khatyr R, Naciri JK. EFFECTS OF VISCOUS DISSIPATION AND AXIAL HEAT CONDUCTION ON FORCED CONVECTION FLOW OF HERSCHELBULKLEY FLUID IN CIRCULAR DUCT WITH AXIALLY VARIABLE WALL HEAT FLUX. Front Heat Mass Transf. 2020;15(1):1-11 https://doi.org/10.5098/hmt.15.5

IEEE Style

R. Khatyr and J.K. Naciri, “EFFECTS OF VISCOUS DISSIPATION AND AXIAL HEAT CONDUCTION ON FORCED CONVECTION FLOW OF HERSCHELBULKLEY FLUID IN CIRCULAR DUCT WITH AXIALLY VARIABLE WALL HEAT FLUX,” Front. Heat Mass Transf., vol. 15, no. 1, pp. 1-11, 2020. https://doi.org/10.5098/hmt.15.5

BibTex EndNote RIS