page_title: Blasius boundary layer
section_title: Howarth transformation
hierarchical_section_title: Blasius boundary layer / Compressible Blasius boundary layer / Howarth transformation
caption_attribution_description: English: Compressible Blasius boundary layer
context_page_description: In physics and fluid mechanics, a Blasius boundary layer describes the steady two-dimensional laminar boundary layer that forms on a semi-infinite plate which is held parallel to a constant unidirectional flow. Falkner and Skan later generalized Blasius' solution to wedge flow, i.e. flows in which the plate is not parallel to the flow.
context_section_description: Introducing the self-similar variables using Howarth–Dorodnitsyn transformation
  the equations reduce to 
  where  is the specific heat ratio and  is the Mach number, where  is the speed of sound. The equation can be solved once  are specified. The boundary conditions are
  The commonly used expressions for air are . If  is constant, then . The temperature inside the boundary layer will increase even though the plate temperature is maintained at the same temperature as ambient, due to dissipative heating and of course, these dissipation effects are only pronounced when the Mach number  is large.
caption: Compressible Blasius boundary layer
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