Fourier’s law, which forms the basis of most engineering prediction methods for the turbulent heat fluxes, is known to fail badly in capturing the effects of streamline curvature on the rate of heat transfer in turbulent shear flows. In this paper, an alternative model, which is both algebraic and explicit in the turbulent heat fluxes and which has been formulated from tensor-representation theory, is presented, and its applicability is extended by incorporating the effects of a wall on the turbulent heat transfer processes in its vicinity. The model’s equations for flows with curvature in the plane of the mean shear are derived and calculations are performed for a heated turbulent boundary layer, which develops over a flat plate before encountering a short region of high convex curvature. The results show that the new model accurately predicts the significant reduction in the wall heat transfer rates wrought by the stabilizing-curvature effects, in sharp contrast to the conventional model predictions, which are shown to seriously underestimate the same effects. Comparisons are also made with results from a complete heat-flux transport model, which involves the solution of differential transport equations for each component of the heat-flux tensor. Downstream of the bend, where the perturbed boundary layer recovers on a flat wall, the comparisons show that the algebraic model yields indistinguishable predictions from those obtained with the differential model in regions where the mean-strain field is in rapid evolution and the turbulence processes are far removed from local equilibrium.

Article navigation

Research Papers

# An Explicit Algebraic Model for Turbulent Heat Transfer in Wall-Bounded Flow With Streamline Curvature

B. A. Younis

,
B. A. Younis

Department of Civil & Environmental Engineering,

University of California

, Davis, CA 95616
Search for other works by this author on:

B. Weigand

,
B. Weigand

Institut fuer Thermodynamik der Luft- und Raumfahrt,

University of Stuttgart

, 70569 Stuttgart, Germany
Search for other works by this author on:

S. Spring
Institut fuer Thermodynamik der Luft- und Raumfahrt,

S. Spring

University of Stuttgart

, 70569 Stuttgart, Germany
Search for other works by this author on:

B. A. Younis

Department of Civil & Environmental Engineering,

University of California

, Davis, CA 95616
B. Weigand

University of Stuttgart

, 70569 Stuttgart, Germany
S. Spring

University of Stuttgart

, 70569 Stuttgart, Germany*J. Heat Transfer*. Apr 2007, 129(4): 425-433 (9 pages)

**Published Online:**July 31, 2006

Article history

Received:

March 6, 2006

Revised:

July 31, 2006

Citation

Younis, B. A., Weigand, B., and Spring, S. (July 31, 2006). "An Explicit Algebraic Model for Turbulent Heat Transfer in Wall-Bounded Flow With Streamline Curvature." ASME. *J. Heat Transfer*. April 2007; 129(4): 425–433. https://doi.org/10.1115/1.2709960

Download citation file:

- Ris (Zotero)
- Reference Manager
- EasyBib
- Bookends
- Mendeley
- Papers
- EndNote
- RefWorks
- BibTex
- ProCite
- Medlars

Close

#### Sign In

### Get Email Alerts

### Cited By

Effect of Operational Parameters on the Thermal Performance of Flat Plate Oscillating Heat Pipe

J. Heat Transfer (December 2019)

Heat Transfer and Flow Structurein a Latticework Duct WithDifferent Sidewalls

J. Heat Transfer (December 2019)

Thermoelastic Interactions in a Slim Strip Due to a Moving Heat Source Under Dual-Phase-Lag Heat Transfer

J. Heat Transfer (December 2019)

### Related Articles

Extended Velocity–Enthalpy Relations for Wall-Bounded and Free Shear Layers

J. Fluids Eng (November, 2005)

On the Calculation of Length Scales for Turbulent Heat Transfer Correlation

J. Heat Transfer (October, 2001)

Advances in Rapid Distortion Theory: From Rotating Shear Flows to the Baroclinic Instability

J. Appl. Mech (May, 2006)

Heat Flux Measurements in Homogeneous Curved Shear Flow

J. Heat Transfer (February, 1999)

### Related Chapters

Cavitating Structures at Inception in Turbulent Shear Flow

Proceedings of the 10th International Symposium on Cavitation (CAV2018)

Extended Surfaces

Thermal Management of Microelectronic Equipment, Second Edition

Extended Surfaces

Thermal Management of Microelectronic Equipment