Developing flow near a semi-infinite vertical wall with ramped temperature

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3 Citations (Scopus)

Abstract

The buoyancy-driven boundary layer flow and heat transfer in a viscous incompressible fluid bounded by a semi-infinite vertical wall has been considered. It is assumed that the bounding wall has a ramped temperature profile with respect to time. The solutions of the coupled nonlinear momentum and energy equations have been obtained using an implicit finite difference method of Crank-Nicolson type. The variations of velocity and temperature in the boundary layer, at a fixed cross section, as well as the skin friction and Nusselt number along the heated surface, have been discussed. Some contour curves of temperature distributions have also been shown.

Original languageEnglish
Pages (from-to)34-45
Number of pages12
JournalInternational Journal of Applied Mathematics and Statistics
Volume13
Issue numberMO8
Publication statusPublished - 2008

Fingerprint

Crank-Nicolson
Skin Friction
Boundary Layer Flow
Nusselt number
Temperature Profile
Buoyancy
Temperature Distribution
Viscous Fluid
Incompressible Fluid
Difference Method
Heat Transfer
Boundary Layer
Finite Difference
Cross section
Momentum
Vertical
Curve
Skin friction
Boundary layer flow
Energy

Keywords

  • Natural convection
  • Nusselt number
  • Ramped temperature
  • Skin friction
  • Thomas algorithm

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

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abstract = "The buoyancy-driven boundary layer flow and heat transfer in a viscous incompressible fluid bounded by a semi-infinite vertical wall has been considered. It is assumed that the bounding wall has a ramped temperature profile with respect to time. The solutions of the coupled nonlinear momentum and energy equations have been obtained using an implicit finite difference method of Crank-Nicolson type. The variations of velocity and temperature in the boundary layer, at a fixed cross section, as well as the skin friction and Nusselt number along the heated surface, have been discussed. Some contour curves of temperature distributions have also been shown.",
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T1 - Developing flow near a semi-infinite vertical wall with ramped temperature

AU - Singh, Ashok K.

AU - Sacheti, Nirmal C.

AU - Chandran, Pallath

PY - 2008

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N2 - The buoyancy-driven boundary layer flow and heat transfer in a viscous incompressible fluid bounded by a semi-infinite vertical wall has been considered. It is assumed that the bounding wall has a ramped temperature profile with respect to time. The solutions of the coupled nonlinear momentum and energy equations have been obtained using an implicit finite difference method of Crank-Nicolson type. The variations of velocity and temperature in the boundary layer, at a fixed cross section, as well as the skin friction and Nusselt number along the heated surface, have been discussed. Some contour curves of temperature distributions have also been shown.

AB - The buoyancy-driven boundary layer flow and heat transfer in a viscous incompressible fluid bounded by a semi-infinite vertical wall has been considered. It is assumed that the bounding wall has a ramped temperature profile with respect to time. The solutions of the coupled nonlinear momentum and energy equations have been obtained using an implicit finite difference method of Crank-Nicolson type. The variations of velocity and temperature in the boundary layer, at a fixed cross section, as well as the skin friction and Nusselt number along the heated surface, have been discussed. Some contour curves of temperature distributions have also been shown.

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KW - Skin friction

KW - Thomas algorithm

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