Abstract
On the Entropy Change Through a Shock Layer JAMES SERRIN AND Y. C. WHANG 990 T QUASI-ONE-DIMENSIONAL magnetogasdynamic channel flow equations have been presented for the case of mutually perpendicular applied electric and magnetic fields. As it was later pointed out, the flow variables-—e.g., pressure, velocity, current, magnetic field, electromagnetic body force, etc.—are to be taken as average values, and the need for Maxwell's equations arises only in evaluating the induced part of the magnetic field by means of the Biot-Savart law. This induced field is then subtracted from the total field used in the channel-flow solution, in order to ascertain the field to be applied at each position. Following the indicated calculation, the resulting expressions for the x and z components of the induced field are seen to exhibit a dependence not only on position, but on channel height, a, width, b, and length, L. The notation is that of Ref. 2 with x indicating the flow direction.
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