# Convective Heat Transfer

## 1st Edition

### Mathematical and Computational Modelling of Viscous Fluids and Porous Media

**Authors:**I. Pop Derek Ingham

**Hardcover ISBN:**9780080438788

**eBook ISBN:**9780080530000

**Imprint:**Pergamon

**Published Date:**23rd February 2001

**Page Count:**668

## Description

**Preface.**

**Acknowledgements.**

**Nomenclature.**

**I Convective Flows: Viscous Fluids.**

**Free convection boundary-layer flow over a vertical flat plate.**Introduction. Basic equations. Similarity solutions for an impermeable flat plate with a variable wall temperature. Similarity solutions for an impermeable flat plate with a variable surface heat flux. Flat plate with a variable wall temperature in a stratified environment. Flat plate with a sinusoidal wall temperature. Free convection boundary-layer flow over a vertical permeable flat plate.

**Mixed convection boundary-layer flow along a vertical flat plate.**Introduction. Basic equations. Behaviour near separation in mixed convection. Mixed convection along a flat plate with a constant wall temperature in parabolic coordinates. Effect of Prandtl number on the mixed convection boundary-layer flow along a vertical plate with a constant wall temperature. Mixed convection boundary-layer flow along a vertical flat plate with a variable heat flux for a large range of values of the Prandtl number. Three-dimensional mixed convection boundary-layer flow near a plane of symmetry.

**Free and mixed convection boundary-layer flow past inclined and horizontal plates.**Introduction. Basic equations. Free convection over an isothermal flat plate at small inclinations. Free convection boundary-layer flow above an isothermal flat plate of arbitrary inclination. Mixed convection boundary-layer flow from a horizontal flat plate. Mixed convection boundary-layer flow along an inclined permeable plate with variable wall temperature.

**Double-diffusive convection.**Introduction. Double diffusive free convection boundary-layer flow over a vertical flat plate in the case of opposing buoyancy forces. Free convection boundary-layer flow driven by catalytic surface reactions.

**Convective flow in buoyant plumes and jets.**Introduction. Free convection in a wall plume. Inclined wall plumes. Free convection far downstream of a heated source on a solid wall. Laminar plane buoyant jets.

**Conjugate heat transfer over vertical and horizontal flat plates.**Introduction. Conjugate free convection over a finite vertical flat plate. Conjugate free convection boundary-layer flow past a horizontal at plate.

**Free and mixed convection from cylinders.**Introduction. Free convection from horizontal cylinders. Conjugate free convection from a horizontal circular cylinder. Mixed convection boundary-layer flow from a horizontal cylinder. Mixed convection boundary-layer flow along a heated longitudinal horizontal cylinder. Mixed convection boundary-layer flow along a vertical circular cylinder.

**Free and mixed convection boundary-layer flow over moving surfaces.**Introduction. Free convection boundary-layer flow from a moving vertical sheet. Free convection boundary-layer flow from a horizontal moving sheet. Free convection boundary-layer flow from a moving vertical cylinder. Free convection boundary-layer flow due to a continuously moving vertical at plate. Mixed convection boundary-layer ow from a moving horizontal at plate.

**Unsteady free and mixed convection.**Introduction. Basic equations. Transient free convection boundary-layer flow over a suddenly heated vertical plate. Transient free convection boundary-layer flow over a suddenly cooled vertical plate. Transient free convection boundary-layer flow over a vertical flat plate at small and large Prandtl numbers. Transient free convection boundary-layer flow over a vertical plate subjected to a sudden change in surface temperature. Transient free convection from a horizontal circular cylinder. Transient mixed convection boundary-layer flow from a horizontal circular cylinder. Unsteady free convection boundary-layer flow past a sphere.

**Free and mixed convection boundary-layer flow of non-Newtonian fluids.**Introduction. Free convection boundary-layer flow of power-law fluids over a vertical flat plate. Free convection boundary-layer flow of non-Newtonian power-law fluids over a vertical wavy surface. Free convection boundary-layer wall plume in non-Newtonian power-law fluids. Mixed convection boundary-layer flow from a horizontal circular cylinder and a sphere in non-Newtonian power-law fluids. Free convection boundary-layer flow of a micropolar fluid over a vertical flat plate. Gravity-driven laminar film flow for non-Newtonian power-law fluids along a vertical wall.

**Convective Flows: Porous Media.**

**Free and mixed convection boundary-layer flow over vertical surfaces in porous media.**Introduction. Basic equations. Similarity solutions of the boundary-layer equations for surfaces with a variable wall temperature. Similarity solutions of the boundary-layer equations for surfaces with variable wall heat flux. Combined heat and mass transfer by free convection over a vertical surface. Free convection boundary-layer flow over reacting surfaces. Free convection boundary-layer flow over a vertical surface in a layered porous medium. Free convection boundary-layer flow over a vertical surface in a porous medium using a thermal non-equilibrium model. Mixed convection boundary-layer flow along a vertical surface.

**Free and mixed convection past horizontal and inclined surfaces in porous media.**Introduction. Basic equations. Free convection boundary-layer flow above a horizontal surface. Mixed convection past a horizontal flat plate. Free convection boundary-layer flow past an inclined surface. Mixed convection boundary-layer flow along an inclined permeable surface.

**Conjugate free and mixed convection over vertical surfaces in porous media.**Introduction. Conjugate free convection boundary-layer flow over a vertical surface. Free convection boundary-layer flow over a vertical surface with Newtonian heating. Conjugate free convection boundary-layer flow due to two porous media separated by a vertical wall. Conjugate mixed convection boundary-layer flow along a vertical surface.

**Free and mixed convection from cylinders and spheres in porous media.**Introduction. Free convection from a horizontal circular cylinder. Free convection boundary-layer flow over a vertical cylinder. Mixed convection boundary-layer flow along a vertical cylinder. Horizontal boundary-layer flow past a partially heated vertical cylinder. Free convection past a heated sphere.

**Unsteady free and mixed convection in porous media.**Introduction. Transient free convection boundary-layer flow from a vertical at plate suddenly heated. Transient free convection boundary-layer flow over a vertical plate subjected to a sudden change in the heat flux. Transient mixed convection boundary-layer flow from a vertical flat plate suddenly heated or suddenly cooled. Transient free convection boundary-layer flow from a horizontal circular cylinder. Transient mixed convection from a horizontal circular cylinder. Transient free convection from a sphere.

**Non-Darcy free and mixed convection boundary-layer flow in porous media.**Introduction. Similarity solutions for free convection boundary-layer flow over a non-isothermal body of arbitrary shape in a porous medium using the Darcy-Forchheimer model. Non-Darcy mixed convection boundary-layer flow along a vertical at plate in a porous medium. Transient non-Darcy free, forced and mixed convection boundary-layer flow over a vertical surface in a porous medium. Non-Darcy free convection boundary-layer flow past a horizontal surface in a porous medium. Effects of heat dispersion on mixed convection boundary-layer flow past a horizontal surface. Free convection boundary-layer flow from a point heat source embedded in a porous medium filled with a non-Newtonian power-law fluid.

**Bibliography. Author Index.**

## Readership

For postgraduates and researchers in the fields of applied mathematics, fluid mechanics, heat transfer, physics, geophysics, and chemical and mechanical engineering.

## Table of Contents

**Preface.**

**Acknowledgements.**

**Nomenclature.**

**I Convective Flows: Viscous Fluids.**

**Free convection boundary-layer flow over a vertical flat plate.**Introduction. Basic equations. Similarity solutions for an impermeable flat plate with a variable wall temperature. Similarity solutions for an impermeable flat plate with a variable surface heat flux. Flat plate with a variable wall temperature in a stratified environment. Flat plate with a sinusoidal wall temperature. Free convection boundary-layer flow over a vertical permeable flat plate.

**Mixed convection boundary-layer flow along a vertical flat plate.**Introduction. Basic equations. Behaviour near separation in mixed convection. Mixed convection along a flat plate with a constant wall temperature in parabolic coordinates. Effect of Prandtl number on the mixed convection boundary-layer flow along a vertical plate with a constant wall temperature. Mixed convection boundary-layer flow along a vertical flat plate with a variable heat flux for a large range of values of the Prandtl number. Three-dimensional mixed convection boundary-layer flow near a plane of symmetry.

**Free and mixed convection boundary-layer flow past inclined and horizontal plates.**Introduction. Basic equations. Free convection over an isothermal flat plate at small inclinations. Free convection boundary-layer flow above an isothermal flat plate of arbitrary inclination. Mixed convection boundary-layer flow from a horizontal flat plate. Mixed convection boundary-layer flow along an inclined permeable plate with variable wall temperature.

**Double-diffusive convection.**Introduction. Double diffusive free convection boundary-layer flow over a vertical flat plate in the case of opposing buoyancy forces. Free convection boundary-layer flow driven by catalytic surface reactions.

**Convective flow in buoyant plumes and jets.**Introduction. Free convection in a wall plume. Inclined wall plumes. Free convection far downstream of a heated source on a solid wall. Laminar plane buoyant jets.

**Conjugate heat transfer over vertical and horizontal flat plates.**Introduction. Conjugate free convection over a finite vertical flat plate. Conjugate free convection boundary-layer flow past a horizontal at plate.

**Free and mixed convection from cylinders.**Introduction. Free convection from horizontal cylinders. Conjugate free convection from a horizontal circular cylinder. Mixed convection boundary-layer flow from a horizontal cylinder. Mixed convection boundary-layer flow along a heated longitudinal horizontal cylinder. Mixed convection boundary-layer flow along a vertical circular cylinder.

**Free and mixed convection boundary-layer flow over moving surfaces.**Introduction. Free convection boundary-layer flow from a moving vertical sheet. Free convection boundary-layer flow from a horizontal moving sheet. Free convection boundary-layer flow from a moving vertical cylinder. Free convection boundary-layer flow due to a continuously moving vertical at plate. Mixed convection boundary-layer ow from a moving horizontal at plate.

**Unsteady free and mixed convection.**Introduction. Basic equations. Transient free convection boundary-layer flow over a suddenly heated vertical plate. Transient free convection boundary-layer flow over a suddenly cooled vertical plate. Transient free convection boundary-layer flow over a vertical flat plate at small and large Prandtl numbers. Transient free convection boundary-layer flow over a vertical plate subjected to a sudden change in surface temperature. Transient free convection from a horizontal circular cylinder. Transient mixed convection boundary-layer flow from a horizontal circular cylinder. Unsteady free convection boundary-layer flow past a sphere.

**Free and mixed convection boundary-layer flow of non-Newtonian fluids.**Introduction. Free convection boundary-layer flow of power-law fluids over a vertical flat plate. Free convection boundary-layer flow of non-Newtonian power-law fluids over a vertical wavy surface. Free convection boundary-layer wall plume in non-Newtonian power-law fluids. Mixed convection boundary-layer flow from a horizontal circular cylinder and a sphere in non-Newtonian power-law fluids. Free convection boundary-layer flow of a micropolar fluid over a vertical flat plate. Gravity-driven laminar film flow for non-Newtonian power-law fluids along a vertical wall.

**Convective Flows: Porous Media.**

**Free and mixed convection boundary-layer flow over vertical surfaces in porous media.**Introduction. Basic equations. Similarity solutions of the boundary-layer equations for surfaces with a variable wall temperature. Similarity solutions of the boundary-layer equations for surfaces with variable wall heat flux. Combined heat and mass transfer by free convection over a vertical surface. Free convection boundary-layer flow over reacting surfaces. Free convection boundary-layer flow over a vertical surface in a layered porous medium. Free convection boundary-layer flow over a vertical surface in a porous medium using a thermal non-equilibrium model. Mixed convection boundary-layer flow along a vertical surface.

**Free and mixed convection past horizontal and inclined surfaces in porous media.**Introduction. Basic equations. Free convection boundary-layer flow above a horizontal surface. Mixed convection past a horizontal flat plate. Free convection boundary-layer flow past an inclined surface. Mixed convection boundary-layer flow along an inclined permeable surface.

**Conjugate free and mixed convection over vertical surfaces in porous media.**Introduction. Conjugate free convection boundary-layer flow over a vertical surface. Free convection boundary-layer flow over a vertical surface with Newtonian heating. Conjugate free convection boundary-layer flow due to two porous media separated by a vertical wall. Conjugate mixed convection boundary-layer flow along a vertical surface.

**Free and mixed convection from cylinders and spheres in porous media.**Introduction. Free convection from a horizontal circular cylinder. Free convection boundary-layer flow over a vertical cylinder. Mixed convection boundary-layer flow along a vertical cylinder. Horizontal boundary-layer flow past a partially heated vertical cylinder. Free convection past a heated sphere.

**Unsteady free and mixed convection in porous media.**Introduction. Transient free convection boundary-layer flow from a vertical at plate suddenly heated. Transient free convection boundary-layer flow over a vertical plate subjected to a sudden change in the heat flux. Transient mixed convection boundary-layer flow from a vertical flat plate suddenly heated or suddenly cooled. Transient free convection boundary-layer flow from a horizontal circular cylinder. Transient mixed convection from a horizontal circular cylinder. Transient free convection from a sphere.

**Non-Darcy free and mixed convection boundary-layer flow in porous media.**Introduction. Similarity solutions for free convection boundary-layer flow over a non-isothermal body of arbitrary shape in a porous medium using the Darcy-Forchheimer model. Non-Darcy mixed convection boundary-layer flow along a vertical at plate in a porous medium. Transient non-Darcy free, forced and mixed convection boundary-layer flow over a vertical surface in a porous medium. Non-Darcy free convection boundary-layer flow past a horizontal surface in a porous medium. Effects of heat dispersion on mixed convection boundary-layer flow past a horizontal surface. Free convection boundary-layer flow from a point heat source embedded in a porous medium filled with a non-Newtonian power-law fluid.

**Bibliography. Author Index.**

## Details

- No. of pages:
- 668

- Language:
- English

- Copyright:
- © Pergamon 2001

- Published:
- 23rd February 2001

- Imprint:
- Pergamon

- eBook ISBN:
- 9780080530000

- Hardcover ISBN:
- 9780080438788

## About the Author

### I. Pop

University of Cluj, Faculty of Mathematics, Romania

### Affiliations and Expertise

University of Cluj, Faculty of Mathematics, Romania

### Derek Ingham

Department of Applied Mathematics, Ingham Centre for Computational Fluid Dynamics, University of Leeds, Leeds, UK

### Affiliations and Expertise

Department of Applied Mathematics, University of Leeds, Leeds, UK