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Chapter 6 Fundamentals of Convective Heat Transfer

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Chapter 6 introduces the fundamentals of convection, where heat transfer occurs due to fluid motion across a surface. It begins with boundary layers, distinguishing the velocity boundary layer where fluid speed increases from zero to free stream, and the thermal boundary layer where temperature adjusts from the surface value to that of the surrounding fluid. Local and average convection coefficients are defined to quantify surface heat transfer, followed by the use of the Reynolds number to classify flow as laminar, transitional, or turbulent. The energy equation for two dimensional incompressible flow is presented, linking velocity and temperature gradients. Key nondimensional groups such as Nusselt, Reynolds, and Prandtl numbers are derived and used to compare thermal, momentum, and viscous effects. The chapter includes empirical correlations for flat plate convection, most notably the laminar flow Nusselt number correlation. Reynolds analogy connects heat transfer with skin friction for similar flow behavior. A math review summarizes techniques like dimensional analysis, similarity transformation, and integral methods. The problem solving strategy involves identifying flow type, calculating nondimensional numbers, selecting correlations, and computing heat transfer coefficients and flux. The chapter ends with a concise cheat sheet for quick reference.

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Uploaded on
May 31, 2025
Number of pages
10
Written in
2024/2025
Type
Class notes
Professor(s)
Xiaohua li
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Sixth lecture

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Heat Transfer - Chapter 6: Introduction to Convection

Alejandro Villanueva




1

, 6.1 Convection Boundary Layers

Concept: When fluid flows over a surface, two thin regions form:

• Velocity boundary layer: region where fluid velocity increases from 0 (no-slip) to free
stream velocity V∞

• Thermal boundary layer: region where temperature transitions from wall temperature Ts
to free stream temperature T∞

Assumptions:

• Steady-state

• Incompressible flow

• No internal generation

Intuition: Surface influences flow and temperature only in its vicinity — beyond that, the fluid is
unaffected.




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