RATE OF HEAT-TRANSFER NEAR THE STAGNATION POINT OF A BLUNT BODY OF REVOLUTION, IN THE PRESENCE OF A MAGNETIC FIELD

Technical Report · Fri Mar 14 04:00:00 EST 1958

OSTI ID:4237699

Meyer, R X

A similarity solution for the two-dimensional, viscous stagnation-point flow in the presence of a magnetic field is extended to the rotationally symmetric case. Also, as a further extension, Joule heating and the heat generated by viscous dissipation are taken into account. A new formalation for the boundury conditions is found, in a manner which permits an exact solution to be determined in terms of ordinary differential equations, which in turn are integrated numerically. Typical orders of magnitude of the parameters are then discussed for the case of atmosphere re-entry. It is found that these orders of magnitude are such that a boundury layer approximation of the magnetohydrodynamic problem can be made, and is necessary for obtaining meaningful numerical results. The singular perturbation corresponding to this approximation is carried out and the Nusselt number characterizing the rate of heattransfer to the body is computed as a function of the magnetic field strength. (auth)

• Research Organization: Space Technology Labs., Inc. Physical Research Lab., Los Angeles
• NSA Number: NSA-14-001607
• OSTI ID: 4237699
• Report Number(s): NP-7997; GM-TR-0127-00016
• Country of Publication: United States
• Language: English

Related Subjects

ATMOSPHERE
CONFIGURATION
DIFFERENTIAL EQUATIONS
EFFICIENCY
ENGINEERING AND EQUIPMENT
FLUID FLOW
GAS FLOW
HEAT TRANSFER
HEATING
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MATHEMATICS
NUSSELT NUMBER
RE-ENTRY
SOLIDS
STABILITY
STAGNATION
VISCOSITY