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EGE

Nonlinear Boundary Value Problems and Simulation of Heat-Electricity Process for Space Nuclear Installations V . A. Galkin , I. V. Galkina Dept. of Applied Mathematics, National Research Nuclear University, IATE, Obninsk , Russia. EGE.

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EGE

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  1. Nonlinear Boundary Value Problems andSimulation of Heat-ElectricityProcess forSpace Nuclear InstallationsV.A.Galkin, I.V.GalkinaDept. of Applied Mathematics, National Research Nuclear University,IATE, Obninsk, Russia

  2. EGE • The process of direct transformation of heat energy to electricity is considered for space nuclear reactor. The effect is based on electrons generation on heated emitters in chain of elements (EGE) which are connected in series.

  3. EGE structure

  4. THERMOEMISSION • Uranium is concluded in the metal cover which is the cathode. It is warmed up by nuclear energy to 1600°С. In the backlash filled with cesium of 0,5 mm electrons fly to the anode, at which 600°С. These high temperatures also allow to select from the reactor of more energy and provide the superiority over other similar installations. For comparison we will tell that in thermoelectric converters temperature on the hot party to 1000°С, on cold - to 400°С.

  5. The series of EGE

  6. The mathematicalmodel of above mentioned phenomenon is based on system of nonlinear boundary - valueproblems for nonlinear equations

  7. Equation for temperature on cathode(boundary-value heat problem on cathode)

  8. Theorem 1 • For given non-negative flux q(x) and non-negative constants there exists unique non-negative solution of boundary-value heat-cathode problem.

  9. The system of equations for the potentials

  10. Boundary conditions

  11. Space for solution

  12. Mapping defined by boundary-value problem

  13. Existence and uniqueness theorem

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