- Author
- Baum, H. R.
- Title
- Laminar Flow Induced by a Point Source of Heat.
- Coporate
- National Bureau of Standards, Gaithersburg, MD
- Journal
- Journal of Research of the National Bureau of Standards. B. Mathematical Sciences, Vol. 81B, No. 1-2, 45-60, January/June 1977
- Keywords
- laminar flow | heat source | plumes | equations | boundary layers | temperature distribution | prandtl number
- Identifiers
- pressure distribution; streamlines; uniformly valid pressure; uniformly velocity fields
- Abstract
- An asymptotic description of the laminar flow pattern generated by a point source of heat is derived. Existing solutions of the boundary layer equations are shown to be valid in a limited domain where buoyancy forces are dominant. These solutions are supplemented by new results for the buoyant plume and are matched asymptotically to solutions valid everywhere outside the plume. Composite analytical formulae for the pressure, enthalpy pressure, and enthalpy distribution for Prandtl numbers 0.7 and 1.0.