Analysis of micro-graetz problem in a microtube
NANOSCALE AND MICROSCALE THERMOPHYSICAL ENGINEERING, vol.10, no.4, pp.345-358, 2006 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 10 Issue: 4
- Publication Date: 2006
- Doi Number: 10.1080/15567260601009197
- Journal Name: NANOSCALE AND MICROSCALE THERMOPHYSICAL ENGINEERING
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.345-358
- Karadeniz Technical University Affiliated: Yes
Abstract
A theoretical analysis is presented for the problem of hydrodynamically developed, thermally developing, steady, laminar forced convective heat transfer of a Newtonian fluid in the entrance region of a microtube. The viscous dissipation effect, the velocity slip, and the temperature jump at the wall are taken into consideration. Two different thermal boundary conditions are considered. the constant heat flux (H1-type) and the constant wall temperature (T-type). Either wall heating (the fluid is heated) or wall cooling (the fluid is cooled) is considered. The downstream variation and the asymptotic value of the Nusselt number are determined as a function of the Brinkman number and the Knudsen number. For softie limiting cases, the results are compared with those existing in the literature and an excellent agreement is observed.