Abstract
The local and integral characteristics of flat MHD channels are studied with allowance for longitudinal and transverse edge effects and heterogeneities in the distributions of conductivity and stream velocity. An analysis is made of the effect of the finite dimensions of the insulating inserts in the longitudinal edge effect and of the modular construction of the side wall in the transverse edge effect on the output parameters of MHD channels. The solution of the problem is based on reduction of the initial quasilinear elliptical equation for the electrical potential with allowance for Ohm's law to an integral equation of the Fredholm type relative to the current density.
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S. T. Demetriades, G. S. Argyropoulos, and C. D. Maxwell, “Some advances in the area of the analytical description of MHD generators,” Pryamoe Preobrazovanie Teplovoi Énergii v Élektricheskuyu i Toplivnye Élementy, No. 9 (1972).
A. B. Vatazhin, G. A. Lyubimov, and S. A. Regirer, Magnetohydrodynamic Flows in Channels [in Russian], Nauka, Moscow (1970).
L. A. Vulis, A. L. Genkin, and B. A. Fomenko, Theory and Calculation of Magnetogasdynamic Flows [in Russian], Atomizdat, Moscow (1971).
A. B. Vatazhin and N. G. Nemkova, “End effect in the channel of an MHD generator with a metallic nozzle and a dielectric section at the entrance,” in: Seventh Riga Conference on Magnetohydrodynamics [in Russian], Vol. 2, Zinatne, Riga (1972).
A. I. Bertinov, L. K. Kovalev, and V. K. Tyutin, “Transverse edge effect in a rectangular MHD channel with a sectioned wall,” Magnetic Gidrodinane, No. 1 (1972).
A. V. Gubarev, L. M. Legtyarev, and A. P. Favorskii, “Longitudinal edge effect in magnetohydrodynamic channels,” Magnetic. Gidrodinane, No. 2 (1970).
J. R. Moszynski and I. G. Agrawal, “Electrical end losses in liquid metal MHD generators with variable conductivity,” Pryamoe Preobrazovanie Teplovoi Énergii v Élektricheskuyu i Toplivnye Élementy, No. 8 (1969).
V. I. Dmitriev and E. V. Zakharov, “Integral equations of a certain class of boundary problems of electrodynamically heterogeneous media,” in: Computational Methods and Programming [in Russian], No. 16, Izd-vo MGU, Moscow (1971).
A. L. Bertinov, D. A. But, L. K. Kovalev, and V. I. Yudas, “Two-dimensional magnetic fields in magnetohydrodynamic channels with steel walls with finite magnetic Reynolds numbers,” Zh. Prikl. Mekhan. i Tekh Fiz., No. 5 (1971).
D. A. But, L. K. Kovalev, Yu. M. Nikitin, I. A. Nikitina, and V. K. Tyutin, “Integral method of studying end and edge effects in MHD channels with a heterogeneous distribution of the parameters of the conducting liquid,” in: Seventh Riga Conference on Magnetohydrodynamics [in Russian], Vol. 1, Zinatne, Riga (1972).
E. Goursat, A. Course in Mathematical Analysis, Vol. 3, Part 1, Dover.
L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Fizmatgiz, Moscow-Leningrad (1962).
V. F. Vasil'ev and I. V. Lavrent'ev, “Longitudinal boundary problem on the distribution of electric fields in MHD channels with conducting walls,” Magnetic Gidrodinane., No. 2 (1970).
V. F. Vasil'ev and I. V. Lavrent'ev, “End effects in magnetohydrodynamic channels with finite magnetic Reynolds numbers,” Zh. Prikl. Mekhan. Tekh. Fiz., No. 3 (1971).
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 8–16, March–April, 1974.
In conclusion the authors thank L. A. Vulis, A. V. Gubarev, and A. L. Genkin for discussion of the formulation of the problem and the results of the work.
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But, D.A., Kovalev, L.K., Nikitin, Y.M. et al. Calculation of plane electric fields in channels of magnetohydrodynamic instruments. J Appl Mech Tech Phys 15, 151–158 (1974). https://doi.org/10.1007/BF00850651
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DOI: https://doi.org/10.1007/BF00850651