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  • 1980-1984  (3)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Zeitschrift für angewandte Mathematik und Physik 35 (1984), S. 760-770 
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Zusammenfassung Für den MHD Fluß durch ein rechteckiges Rohr mit gut leitenden Elektroden wurde die numerische Lösung für die Geschwindigkeit und das induzierte Feld ermittelt. Das Problem ließ sich auf eine singuläre Integralgleichung zurückführen, die numerisch gelöst wurde. Es hat sich herausgestellt, daß wenn die Hartmann-Zahl größer wird, das Geschwindigkeitsprofil eine Tendenz zur Abflachung zeigt und der Fluß durch den Querschnitt zurückgeht. Im Vergleich mit dem Einsatz von nicht leitenden Wänden wurde ebenfalls ein geringerer Fluß festgestellt. Für die Lösung der Integralgleichung, die Geschwindigkeit und das magnetische induzierte Feld sind graphische Darstellungen und Tabellen angegeben.
    Notes: Abstract The numerical solution for the velocity and induced magnetic field has been obtained for the MHD flow through a rectangular pipe with perfectly conducting electrodes. The problem reduces to the solution of a singular integral equation which has been solved numerically. It is found that as the Hartmann number is increased the velocity profile shows a flattening tendency and the flux through a section is reduced. Also as compared with the case of nonconducting walls the flux is found to be smaller. Graphs and tables are given for the solution of the integral equation and the velocity and induced magnetic field.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 1104-1111 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The finite element method has been applied to the steady-state fully developed magnetohydrodynamic channel flow of a conducting fluid in the presence of transverse magnetic field. Simple elements have been used to obtain the numerical values of velocity and induced magnetic field. To test the efficiency of the method, three different geometries, viz., rectangle, circle and triangle, are taken as the section of the pipe whose walls are non-conducting. Comparison is made with those cases in which exact solutions are available. Apart from giving good results, the FEM makes it possible to solve the problem for a pipe with arbitrary cross-section which was not possible by the other methods.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 4 (1984), S. 291-302 
    ISSN: 0271-2091
    Keywords: Finite Elements ; MHD Flows ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A finite element method is given to obtain the numerical solution of the coupled equations in velocity and magnetic field for unsteady MHD flow through a pipe having arbitrarily conducting walls. Pipes of rectangular, circular and triangular sections have been taken for illustration. Computations have been carried out for different Hartmann numbers and wall conductivity at various time levels. It is found that if the wall conductivity increases, the flux through a section decreases. The same is the effect of increasing the Hartmann number. It is also observed that the steady state is approached at a faster rate for larger Hartmann numbers or larger wall conductivity. Selected graphs are given showing the behaviour of velocity, induced magnetic field and flux across a section.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
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