NDLI: Analysis of heat transfer and entropy generation for a low-Peclet-number microtube flow using a second-order slip model: an extended-Graetz problem

Content Provider	Springer Nature Link
Author	Çetin, Barbaros Zeinali, Soheila
Copyright Year	2014
Abstract	The classical Graetz problem, which is the problem of the hydrodynamically developed, thermally developing laminar flow of an incompressible fluid inside a tube neglecting axial conduction and viscous dissipation, is one of the fundamental problems of internal-flow studies. This study is an extension of the Graetz problem to include the rarefaction effect, viscous dissipation term and axial conduction with a constant wall temperature thermal boundary condition. The energy equation is solved to determine the temperature field analytically using general eigenfunction expansion with a fully developed velocity profile. To analyze the low-Peclet-number nature of the flow, the flow domain is extended from $$-\infty $$ to $$+\infty $$ . To model the rarefaction effect, a second-order slip model is implemented. The temperature distribution, local Nusselt number, and local entropy generation are determined in terms of confluent hypergeometric functions. This kind of theoretical study is important for a fundamental understanding of the convective heat transfer characteristics of flows at the microscale and for the optimum design of thermal systems, which includes convective heat transfer at the microscale, especially operating at low Reynolds numbers.
Starting Page	13
Ending Page	25
Page Count	13
File Format	PDF
ISSN	00220833
Journal	Journal of Engineering Mathematics
Volume Number	89
Issue Number	1
e-ISSN	15732703
Language	English
Publisher	Springer Netherlands
Publisher Date	2014-08-30
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Extended-Graetz problem Low Pe Microtube Second-order slip model Mechanics Applications of Mathematics Analysis Mathematical Modeling and Industrial Mathematics Numeric Computing
Content Type	Text
Resource Type	Article
Subject	Mathematics Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Second Law Analysis for Extended Graetz Problem Including Viscous Dissipation in Microtubes

Analysis of heat transfer and entropy generation for a low-Peclet-number microtube flow using a second-order slip model : an extended-Graetz problem

Extended Graetz Problem Including Axial Conduction and Viscous Dissipation in Microtube

Second Order Slip Flow Effects on Heat Transfer Performance of Microchannels

Joule-heating effects in mixed electroosmotic and pressure-driven microflows under constant wall heat flux

Second Law Analysis of Slip Flow Heat Transfer in Annulus Microchannel

Isothermal Microtube Heat Transfer With Second-Order Slip Flow and Temperature Jump Boundary Conditions

Oscillatory magnetogasdynamic slip flow in a microchannel

Low-Frequency Second-Order Wave-Drift Forces and Damping

Analysis of heat transfer and entropy generation for a low-Peclet-number microtube flow using a second-order slip model: an extended-Graetz problem

Similar Documents

Second Law Analysis for Extended Graetz Problem Including Viscous Dissipation in Microtubes

Analysis of heat transfer and entropy generation for a low-Peclet-number microtube flow using a second-order slip model : an extended-Graetz problem

Extended Graetz Problem Including Axial Conduction and Viscous Dissipation in Microtube

Second Order Slip Flow Effects on Heat Transfer Performance of Microchannels

Joule-heating effects in mixed electroosmotic and pressure-driven microflows under constant wall heat flux

Second Law Analysis of Slip Flow Heat Transfer in Annulus Microchannel

Isothermal Microtube Heat Transfer With Second-Order Slip Flow and Temperature Jump Boundary Conditions

Oscillatory magnetogasdynamic slip flow in a microchannel

Low-Frequency Second-Order Wave-Drift Forces and Damping

Analysis of heat transfer and entropy generation for a low-Peclet-number microtube flow using a second-order slip model: an extended-Graetz problem