Natural convection flow in vertical channel due to ramped wall temperature at one boundary

Marneni, N. and Raghavan, V.R. (2009) Natural convection flow in vertical channel due to ramped wall temperature at one boundary. In: UNSPECIFIED.

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Abstract

An exact solution to the problem of unsteady natural convective flow of a viscous and incompressible fluid in a vertical parallel plate channel due to ramp heating at one boundary is presented. The temperature at one of the channel plates increases linearly over a certain time period and then remains constant while that at the other plate is maintained at the initial fluid temperature. The Laplace transform technique has been used to obtain the expressions for the velocity and temperature fields by solving the dimensionless governing partial differential equations under appropriate boundary conditions. The influence of the physical parameters on the velocity field, the temperature field, rate of heat transfer, skin-friction and volume flow rate of the fluid are analyzed systematically. The shear stress at the plate with ramped temperature boundary condition is significantly higher than that at the other plate because of the steeper velocity profiles in the vicinity. The Nusselt number at the plate with ramped temperature is much higher than that at the other plate indicating that much of the energy released from the plate because of its increasing temperature with time is convected out by the fluid before it reaches the second plate. The natural convection due to ramp heating has also been compared with the baseline case of flow with constant temperature. Copyright © 2009 by ASME.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Additional Information: cited By 11; Conference of 2009 ASME Summer Heat Transfer Conference, HT2009 ; Conference Date: 19 July 2009 Through 23 July 2009; Conference Code:80429
Uncontrolled Keywords: Constant temperature; Exact solution; Fluid temperatures; Free convection; Free convection heat transfer; Incompressible fluid; Laplace transform techniques; Natural convection flow; Natural convective flow; Physical parameters; Rate of heat transfer; Temperature boundary; Temperature field; Time periods; Velocity field; Velocity profiles; Vertical channels; Vertical parallel plates; Volume flow rate; Wall temperatures, Boundary conditions; Channel flow; Fluids; Heat exchangers; Heating; Laplace transforms; Natural convection, Parallel flow
Depositing User: Mr Ahmad Suhairi UTP
Date Deposited: 09 Nov 2023 15:48
Last Modified: 09 Nov 2023 15:48
URI: https://khub.utp.edu.my/scholars/id/eprint/558

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