In this work, the effect of the second-order term to the velocity-slip/temperature-jump boundary conditions on the solution of four cases in which the driving force is fluctuating harmonically was studied. The study aims to establish criteria that secure the use of the first order velocity-slip/temperature-jump model boundary conditions instead of the second-order ones. The four cases studied were the transient Couette flow, the pulsating Poiseuille flow, Stoke’s second problem, and the transient natural convection flow. It was found that at any given Kn number, increasing the driving force frequency, increases the difference between the first and second-order models. Assuming that a difference between the two models of over 5% is significant enough to justify the use of the more complex second-order model, the critical frequencies for the four different cases were found. For the cases for which the flow is induced by the fluctuating wall as in cases 1 and 3, we found that critical frequency at to be For the cases of flow driven by a fluctuating pressure gradient as in case 2, this frequency was found to be , at the same Kn number. In case 4, for the temperature-jump model, the critical frequency was found to be and for the velocity-slip model the critical frequency at the same Kn number was found to be .
Skip Nav Destination
Article navigation
July 2010
Technical Briefs
Effect of Second Order Velocity-Slip/Temperature-Jump on Basic Gaseous Fluctuating Micro-Flows
M. A. Hamdan,
M. A. Hamdan
Department of Mechanical Engineering,
University of Jordan
, Amman 11942, Jordan
Search for other works by this author on:
M. A. Al-Nimr,
M. A. Al-Nimr
Department of Mechanical Engineering,
J.U.S.T.
, Irbid 22110, Jordan
Search for other works by this author on:
Vladimir A. Hammoudeh
Vladimir A. Hammoudeh
Department of Mechanical Engineering,
University of Jordan
, Amman 11942, Jordan
Search for other works by this author on:
M. A. Hamdan
Department of Mechanical Engineering,
University of Jordan
, Amman 11942, Jordan
M. A. Al-Nimr
Department of Mechanical Engineering,
J.U.S.T.
, Irbid 22110, Jordan
Vladimir A. Hammoudeh
Department of Mechanical Engineering,
University of Jordan
, Amman 11942, JordanJ. Fluids Eng. Jul 2010, 132(7): 074503 (6 pages)
Published Online: July 22, 2010
Article history
Received:
June 26, 2009
Revised:
June 5, 2010
Online:
July 22, 2010
Published:
July 22, 2010
Citation
Hamdan, M. A., Al-Nimr, M. A., and Hammoudeh, V. A. (July 22, 2010). "Effect of Second Order Velocity-Slip/Temperature-Jump on Basic Gaseous Fluctuating Micro-Flows." ASME. J. Fluids Eng. July 2010; 132(7): 074503. https://doi.org/10.1115/1.4001970
Download citation file:
Get Email Alerts
Related Articles
Natural Convection in a Vertical Microchannel
J. Heat Transfer (September,2005)
Finite Element Simulation on Natural Convection Flow in a Triangular Enclosure Due to Uniform and Nonuniform Bottom Heating
J. Heat Transfer (March,2008)
On Gaseous Free-Convection Heat Transfer With Well-Defined Boundary Conditions
J. Heat Transfer (November,2000)
Solid/Liquid Phase Change in Presence of Natural Convection: A Thermal Energy Storage Case Study
J. Energy Resour. Technol (September,2003)
Related Proceedings Papers
Related Chapters
Finite Element Solution of Natural Convection Flow of a Nanofluid along a Vertical Flat Plate with Streamwise Sinusoidal Surface Temperature
International Conference on Computer and Electrical Engineering 4th (ICCEE 2011)
Applications
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
System Thermal Analysis – Small Boxes
Thermal Management of Telecommunication Equipment, Second Edition