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  • 1
    Electronic Resource
    Electronic Resource
    Heat transfer in an electrically conducting fluid over a stretching surface
    Amsterdam : Elsevier
    International Journal of Non-Linear Mechanics 27 (1992), S. 265-277 
    Details
    ISSN: 0020-7462
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0020-7462(92)90085-L
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  • 2
    Electronic Resource
    Electronic Resource
    Hydromagnetic flow of a dusty fluid over a stretching sheet
    Amsterdam : Elsevier
    International Journal of Non-Linear Mechanics 27 (1992), S. 937-945 
    Details
    ISSN: 0020-7462
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0020-7462(92)90046-A
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  • 3
    Electronic Resource
    Electronic Resource
    Fourth order non-linear systems arising in combined free and forced convection flow of a second order fluid
    Amsterdam : Elsevier
    International Journal of Non-Linear Mechanics 29 (1994), S. 861-869 
    Details
    ISSN: 0020-7462
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0020-7462(94)90058-2
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  • 4
    Electronic Resource
    Electronic Resource
    Convective heat transfer at a stretching sheet (1993)
    Springer
    Acta mechanica 96 (1993), S. 47-54 
    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 Analysis of convection flow and heat transfer of a viscous heat-generating fluid near an infinite vertical stretching surface is carried out. The effects of free convection and the presence of heat generation/absorption on the flow and heat transfer characteristics are considered. The equations of conservation of momentum, mass, and energy, which govern the flow and heat transfer problem, are solved numerically by using a variable order, variable step size finite-difference method. The numerical results obtained for the flow and heat transfer characteristics reveal many interesting behaviors. These behaviors warrant further study of the effects of free convection on the flow and heat transfer characteristics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01340699
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  • 5
    Electronic Resource
    Electronic Resource
    Cubic and Quartic Convergence for First-Order Periodic Boundary-Value Problems (1998)
    Springer
    Journal of optimization theory and applications 99 (1998), S. 465-480 
    Details
    ISSN: 1573-2878
    Keywords: Existence ; periodic boundary-value problems ; upper and lower solutions ; convergence ; quasilinearization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, the results of Lakshmikantham et al. (Ref. 1) for first-order periodic boundary-value problems are extended, by using the extended method of quaislinearization and rapid convergence for initial-value problems of Mohapatra et al. (Ref. 2). Also, it is shown that monotone sequences converge cubically to the unique solution when the forcing function in the differential equation is 2–hyperconvex and converge quartically when the forcing function is 3–hyperconvex. Several other generalizations of the problem are also presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1021782529131
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  • 6
    Electronic Resource
    Electronic Resource
    Extension of the Method of Quasilinearization and Rapid Convergence (1998)
    Springer
    Journal of optimization theory and applications 96 (1998), S. 667-682 
    Details
    ISSN: 1573-2878
    Keywords: Existence ; nonlinear initial-value problems ; upper and lower solutions ; convergence ; quasilinearization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract An extension of the method of quasilinearization has been applied to first-order nonlinear initial-value problems (IVP for short). It has been shown that there exist monotone sequences which converge rapidly to the unique solution of IVP.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1022620813436
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  • 7
    Electronic Resource
    Electronic Resource
    Natural convection at a heated semiinfinite vertical plate with internal heat generation (1979)
    Springer
    Acta mechanica 34 (1979), S. 153-159 
    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
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01176264
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  • 8
    Electronic Resource
    Electronic Resource
    On spatial and temporal stability in three dimensional fluid flows (1983)
    Springer
    Acta mechanica 46 (1983), S. 111-126 
    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 A three-dimensional stability analysis is presented for an incompressible viscous non-parallel boundary layer flow over a rotating disk. The method of multiple scales is used to derive partial differential equations that describe the axial and cross-flow variations of the disturbance amplitude, phase and wave numbers. These equations are then employed to derive the expressions that relate the spatial and temporal stabilities. These equations are also used to obtain the expression that relates the spatial growth rate along a given direction to a spatial growth rate along any other direction. These relations are verified by numerical results, obtained for three-dimensional disturbances. The numerical results are presented in order to relate the spatial and temporal stability for different values of Reynolds number, wave number and frequency. It is shown that the predicted results are in excellent agreement with those of the present numerical calculations. Further, it is predicted for a quasiparallel flow that any spatial growth rate can be transformed into a temporal growth rate, while a temporal growth rate can be transformed into a spatial growth rate along any specified direction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01176768
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  • 9
    Electronic Resource
    Electronic Resource
    Nonlinear study of convective heat transfer and fluid flows induced by travelling thermal waves (1986)
    Springer
    Acta mechanica 59 (1986), S. 233-249 
    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 A nonlinear study is made of the convective heat transfer and the fluid flow in an incompressible viscous fluid confined to a vertical wavy channel in four different geometrical configurations. The flow is generated by the periodic thermal waves prescribed at the wavy walls of the channel. The problem is solved by a perturbation technique with the assumption that the solution consists of a mean part and a perturbed part. The mean, perturbed and the total solutions are numerically evaluated for various values of the physical parameters involved in the problem. The mean solution is found to be in good agreement with that obtained by Vajravelu and Sastri [4]. The perturbed part of the solution is made of the contributions from the waviness of the channel walls and the travelling thermal waves. Of all the parameters, the heat source parameter plays an important role in augmenting (diminishing) the skin friction (the heat transfer) at the wally=1. Several interesting properties of the flow field and the heat transfer are discussed. The results of this analysis are also graphically presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01181666
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  • 10
    Electronic Resource
    Electronic Resource
    Hydromagnetic flow and heat transfer over a continuous, moving, porous, flat surface (1986)
    Springer
    Acta mechanica 64 (1986), S. 179-185 
    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 hydromagnetic boundary-layer flow and heat transfer over a continuous, moving, flat surface with uniform suction and internal heat generation/absorption are obtained. Flow of this type represents a new class of boundary-layer problems, with solutions substantially different from those for boundary-layer flow on a flat surface of finite length. These solutions are even exact solutions of the complete Navier-Stokes equations and the energy equation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01450393
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