eprintid: 1987 rev_number: 2 eprint_status: archive userid: 1 dir: disk0/00/00/19/87 datestamp: 2023-11-09 15:50:09 lastmod: 2023-11-09 15:50:09 status_changed: 2023-11-09 15:41:46 type: article metadata_visibility: show creators_name: Narahari, M. creators_name: Dutta, B.K. title: Free convection flow and heat transfer between two vertical parallel plates with variable temperature at one boundary ispublished: pub keywords: Exact solution; Fluid temperatures; Free convection flows; Governing equations; Infinite series; Laplace transform techniques; Parallel vertical plates; Parallel-plate channels; Temperature profiles; Temporal variation; Unsteady free convection; Variable temperature; Vertical parallel plates; Viscous incompressible fluids, Friction; Heat flux; Laplace transforms; Natural convection; Nusselt number; Shear flow, Plates (structural components) note: cited By 8 abstract: An exact solution to the problem of unsteady free convection flow and heat transfer in a viscous incompressible fluid between two long vertical parallel plates is presented. The temperature at one of the plates increases linearly with time while that at the other plate remains constant at the initial fluid temperature. The dimensionless governing equations are solved using Laplace transform technique. The solutions are obtained in the forms of rapidly converging infinite series. Computed velocity and temperature profiles as well as the shear stress and heat flux at the plates are presented. The parametric and temporal variations of the relevant quantities are discussed. © 2011 Institute of Thermomechanics AS CR, v.v.i. date: 2011 official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-79960521757&partnerID=40&md5=4a00c07af2f7e628d80af708611ed349 full_text_status: none publication: Acta Technica CSAV (Ceskoslovensk Akademie Ved) volume: 56 number: 1 pagerange: 103-113 refereed: TRUE issn: 00017043 citation: Narahari, M. and Dutta, B.K. (2011) Free convection flow and heat transfer between two vertical parallel plates with variable temperature at one boundary. Acta Technica CSAV (Ceskoslovensk Akademie Ved), 56 (1). pp. 103-113. ISSN 00017043