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  • 1
    Electronic Resource
    Electronic Resource
    Some inverse Laplace transforms of exponential form (1988)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 39 (1988), S. 150-156 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract An algorithm for finding inverse Laplace transforms of exponential form for two classes of functions is established and used to derive a set of new formulas which are presented as a table of Laplace transform pairs. These formulas are useful in problems in fluid mechanics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00945761
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  • 2
    Electronic Resource
    Electronic Resource
    Some inverse Laplace transforms of exponential form (1988)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 39 (1988), S. 954-954 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00945134
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Unsteady magnetohydrodynamic flows in a rotating elastico-viscous fluid (1994)
    Springer
    Astrophysics and space science 219 (1994), S. 257-264 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract This paper points out the errors in the solutions of a research work by N. Nanousis under the same title published in this journal, volume 199, 1993. The correct solutions of the problem for the velocity field and the drag on the plate, by the Laplace transform technique, are presented. The results are discussed for two cases of an arbitrary time-dependent forcing effect. It is shown that the viscoelastic parameterk 〉 0 influences the velocity and introduces reverse flow. For a suddenly accelerated plate,k 〉 0 increases the velocity forz 〈 $$\sqrt {2t} $$ and decreases it forz 〉 $$\sqrt {2t} $$ . In the case of the ramp-type boundary condition,k 〉 0 tends to decrease the velocity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00628242
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  • 4
    Electronic Resource
    Electronic Resource
    Unsteady MHD free-convection oscillatory flow on a porous plate in a rotating medium (1988)
    Springer
    Astrophysics and space science 149 (1988), S. 107-114 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Unsteady free-convection oscillatory flow on a porous plate near an infinite vertical plate in a rotating medium in the presence of a constant transverse magnetic field is investigated under an oscillatory forcing effect on the plate. An exact solution of the problem is determined by using the Laplace transform method. The thermal influence on the skin friction at the plate is determined, and the structure of the thermal waves is presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00640470
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  • 5
    Electronic Resource
    Electronic Resource
    Unsteady MHD free-convection flows on a porous plate with time-dependent heating in a rotating medium (1988)
    Springer
    Astrophysics and space science 143 (1988), S. 51-62 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The three-dimensional unsteady free-convection flows of a viscous fluid near a porous infinite vertical plate in a rotating medium in the presence of a constant transverse magnetic field are investigated under an arbitrary time-dependent heating of the plate. By using the Laplace transform technique, the Green function of the problem is determined and exact solutions are obtained for special cases of the impulsive and the accelerated heating effect for an arbitrary Prandtl number. The thermal influence on skin friction at the plate and the displacement thickness of the boundary layers are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00636754
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  • 6
    Electronic Resource
    Electronic Resource
    Unsteady MHD free-convection flows with time-dependent heating in a rotating medium (1987)
    Springer
    Astrophysics and space science 135 (1987), S. 219-228 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Unsteady free-convection flows near an infinite vertical plate in a rotating medium in the presence of a constant transverse magnetic field are investigated under an arbitrary time-dependent heating of the plate. By using the Laplace transform technique, the Green's function of the problem is determined and exact solutions are obtained for special cases of the time-dependent heating effect. The thermal influence on skin friction at the plate and the displacement thickness of the boundary layer are determined, and the structure of the thermal wave trains is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00641556
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  • 7
    Electronic Resource
    Electronic Resource
    The effects of induced magnetic field on unsteady hydromagnetic flows in a rotating medium (1990)
    Springer
    Astrophysics and space science 174 (1990), S. 121-133 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Unsteady flows of a viscous incompressible electrically conducting fluid filling the semi-infinite space in contact with an infinite conducting plate in a rotating medium in the presence of a transverse induced magnetic field are investigated under an arbitrary time-dependent forcing effect on the motion of the plate where the plate and the fluid rotate uniformly as a rigid body. By using the Laplace transform technique, the Greens function of the problem is determined and certain asymptotic expansions of the exact solutions are analyzed. the steady-state oscillatory flow problem is solved, and structure of waves and displacement thickness of the boundary layers are discussed for different cases of some natural parameters in the problem. The results are compared with similar flows in the presence of a constant magnetic field.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00645658
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    Paper (German National Licenses)
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  • 8
    Electronic Resource
    Electronic Resource
    Nonclassical thermal effects in Stokes' second problem (1995)
    Springer
    Acta mechanica 112 (1995), S. 1-9 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary The MCF model is used to study the nonclassical heat conduction effects in Stoke's second problem. The structure of the waves and the influence of the thermal relaxation time on the temperature and velocity fields are investigated. The displacement thickness, skin friction and the rate of the heat transfer at the plate are determined.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01177474
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  • 9
    Electronic Resource
    Electronic Resource
    Some exact solutions of the stokes problem for an elastico-viscous fluid (1987)
    Springer
    Acta mechanica 68 (1987), S. 223-230 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary Exact solutions for the following three problems for an elastico-viscous fluid are obtained: (i) Stokes problem on a porous plate, (ii) Stokes problem, and (iii) steady flow over a porous plate. It is shown that the Taylor expansion in powers of the elastico-viscous parameter matches with the perturbation solutions obtained in some earlier investigations. Wave structure for the first problem is analyzed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01190885
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