Flat Plate in Parallel Flow
Section 7.2 covers a the convection associated with an isothermal flat plate exposed to flow on one side as shown in the below image.
See boundary layers, specifically thermal boundary layers.
Using the similarity transformation on the boundary layer equations, the following equations for continuity, momentum, and energy can be found:
Continuity (Eq. 7.4):
Momentum (Eq. 7.5):
Where
Energy (Eq. 7.6):
Where
See ME3304 S24 Lecture Note (3) Convection and Example 7.1 for more information.
Laminar Flow over an Isothermal Plate
Section 7.2.1
Equation 7.29:
Where
Equation 7.30 (temperature):
Where
Equation 7.31 (mass):
Where
Turbulent Flow over an Isothermal Plate
Section 7.2.2
Equation 7.34:
Where
Velocity boundary layer thickness (Equation 7.35):
Equation 7.36 (temperature):
Where
Equation 7.37 (mass):
Where
Mixed Boundary Layer Conditions
Section 7.2.3
Equation 7.38:
Where
Equation 7.40:
Where
Equation 7.41:
Where
Other conditions
Section 7.2.4 covers a unheated starting length
Section 7.2.5 covers Flat Plates with Constant Heat Flux