Fully Developed Laminar Forced Convection in a Circular Duct for Herschel-Bulkley Fluids With Viscous Dissipation and Axial Heat Conduction

被引:1
作者
Khatyr, Rabha [1 ]
Khalid-Naciri, Jaafar [1 ]
Il Idrissi, Ali [2 ]
机构
[1] Hassan II Univ, Fac Sci Ain Chock, Lab Mech, BP 5366, Casablanca 20100, Morocco
[2] Hassan II Univ, Fac Sci Ben MSik, Lab Mech, BP 7955, Casablanca 20100, Morocco
来源
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME | 2017年 / 139卷 / 10期
关键词
laminar forced convection; viscous dissipation; Herschel-Bulkley fluid; asymptotic behavior; variable wall heat flux; PLATES; FLOW;
D O I
10.1115/1.4036690
中图分类号
O414.1 [热力学];
学科分类号
摘要
The asymptotic behavior of laminar forced convection in a circular duct for a Herschel-Bulkley fluid of constant properties is analyzed. The viscous dissipation and the axial heat conduction effects in the fluid are both considered. The asymptotic bulk and mixing temperature field, and the asymptotic values of the bulk and mixing Nusselt numbers are determined for every boundary condition, enabling a fully developed region. In particular, it is proved that whenever the wall heat flux tends to zero, the asymptotic Nusselt number is zero. The obtained results are compared to other existing solutions in the literature for Newtonian and non-Newtonian cases.
引用
收藏
页数:5
相关论文
共 12 条
[1]   Yielding to Stress: Recent Developments in Viscoplastic Fluid Mechanics [J].
Balmforth, Neil J. ;
Frigaard, Ian A. ;
Ovarlez, Guillaume .
ANNUAL REVIEW OF FLUID MECHANICS, VOL 46, 2014, 46 :121-146
[2]  
Barletta A, 1997, INT J HEAT MASS TRAN, V40, P15, DOI 10.1016/S0017-9310(96)00094-4
[3]   ON THE LAMINAR FORCED-CONVECTION WITH AXIAL CONDUCTION IN A CIRCULAR TUBE WITH EXPONENTIAL WALL HEAT-FLUX [J].
BARLETTA, A ;
ZANCHINI, E .
HEAT AND MASS TRANSFER, 1995, 30 (05) :283-290
[4]   Periodic forced convection with axial heat conduction in a circular duct [J].
Barletta, A ;
Rossi di Schio, E .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2000, 43 (16) :2949-2960
[5]  
Bejan A., 1984, CONVECTION HEAT TRAN
[6]  
Bird RB., 1983, REV CHEM ENG, V1, P1, DOI [DOI 10.1515/REVCE-1983-0102, 10.1515/revce-1983-0102]
[7]   HEAT-TRANSFER OF POWER LAW FLUID AT LOW PECLET NUMBER FLOW [J].
DANG, VD .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1983, 105 (03) :542-549
[8]   Effects of viscous dissipation and fluid axial heat conduction on heat transfer for non-Newtonian fluids in ducts with uniform wall temperature - Part 1: Parallel plates and circular ducts [J].
Jambal, O ;
Shigechi, T ;
Davaa, G ;
Momoki, S .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2005, 32 (09) :1165-1173
[9]   AXIAL CONDUCTION AND THE GRAETZ PROBLEM FOR A BINGHAM PLASTIC IN LAMINAR TUBE FLOW [J].
JOHNSTON, PR .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1991, 34 (4-5) :1209-1217
[10]  
Khatyr R., 2010, PHYS CHEM NEWS, V55, P38