Heat transfer by laminar Hartmann flow in thermal entrance region with a step change in wall temperatures: the Graetz problem extended

J Lahjomri, A Oubarra, A Alemany - International journal of heat and mass …, 2002 - Elsevier
Thermally developing laminar Hartmann flow through a parallel-plate channel, including
both viscous dissipation, Joule heating and axial heat conduction with a step change in wall …

An exact solution of extended Graetz problem with axial heat conduction

MA Ebadian, HY Zhang - International Journal of Heat and Mass Transfer, 1989 - Elsevier
The convective heat transfer properties of a hydrodynamically, fully developed viscous flow
in a circular tube are analyzed without using any simplified assumption such as low …

Numerical solution of Graetz problem with axial conduction

Ş Bilir - Numerical Heat Transfer, 1992 - Taylor & Francis
Heat transfer in the thermal entrance region of pipes is analyzed by the finite-difference
method including the effect of axial fluid conduction. A hydrodynamically developed flow …

Heat transfer by laminar Hartmann's flow in thermal entrance region with uniform wall heat flux: the Graetz problem extended

J Lahjomri, K Zniber, A Oubarra, A Alemany - Energy conversion and …, 2003 - Elsevier
Thermally developing laminar Hartmann flow through a parallel plate channel, with
prescribed transversal uniform magnetic field, including both viscous dissipation, Joule …

An exact analysis of low Peclet number heat transfer in laminar flow with axial conduction

B Vick, MN Özişik - Letters in Heat and Mass Transfer, 1981 - Elsevier
An exact method of analysis is presented for solving the low Peclet number thermal entry
region problem for laminar flow inside a circular tube, including the effects of axial …

Solutions of the extended Graetz problem

AS Telles, EM Queiroz, G Elmôr Filho - … Journal of Heat and Mass Transfer, 2001 - Elsevier
In this paper laminar forced convective heat transfer problems inside ducts, with axial
conduction, subjected to the three main types of boundary conditions are solved exactly. The …

Heat transfer in duct flow of non-Newtonian fluids with axial conduction

S Olek - International communications in heat and mass transfer, 1998 - Elsevier
A special eigenfunction expansion is used to derive an exact solution for heat transfer in
laminar flow of a non-Newtonian fluid inside a circular or parallel-plate duct, including axial …

Steady-state heat transfer with axial conduction in laminar flow in a circular tube with a specified temperature or heat flux wall

N Hiroyuki - International Journal of Heat and Mass Transfer, 1981 - Elsevier
The solution for the temperature profile is obtained on the basis of the superposition
principle or by the use of Green's function when the wall temperature (or heat flux) profile is …

Effects of axial conduction in laminar tube flow with convective boundaries

B Vick, MN Özişik, DF Ullrich - Journal of the Franklin Institute, 1983 - Elsevier
Heat transfer in laminar tube flow with convective boundary conditions and axial heat
conduction in the fluid is solved exactly. The effects of the external Biot numbers and the …

Effects of axial conduction and convective boundary conditions in slug flow inside a circular tube

B Vick, MN O¨ zis¸ ik - 1981 - asmedigitalcollection.asme.org
An exact solution is presented for the temperature distribution and the local Nusselt number
in slug flow of a low Pe´ cle´ t number fluid inside an infinitely long tube by including in the …