Analytical solutions for some unsteady flows of fluids with linear dependence of viscosity on the pressure
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"Analytical solutions for some unste..." refers background in this paper
...There have been recent experiments by Cutler et al. [8], Griest et al. [9], Johnson and Cameron [10], Johnson and Greenwood [11], Johnson and Tevaarwerk [12], Bain and Winer [13], which confirm the strong dependence of viscosity on the pressure....
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...[9], Johnson and Cameron [10], Johnson and Greenwood [11], Johnson and Tevaarwerk [12], Bain and Winer [13], which confirm the strong dependence of viscosity on the pressure....
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383 citations
"Analytical solutions for some unste..." refers background or methods in this paper
...and J0(·) and Y0(·) are standard Bessel functions, integrating the result with respect to r from a to b and bearing in mind the conditions (27) and (28) and the known result [27] ∫ b...
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...Solving the ordinary differential equation (31) with the initial condition (32) and applying the inverse Hankel transform to the result, we obtain (see [27], the page 482)...
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"Analytical solutions for some unste..." refers background in this paper
...During the flows of fluids with pressure dependent viscosity, it is possible for concentrations of vorticity to occur adjacent to solid boundaries, and at times even in the interior of the flow, at low Reynolds number (see Rajagopal [18,19])....
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...The authors also would like to thank Prof. K.R. Rajagopal for bringing the present problem to their attention and for some fruitful and valuable suggestions....
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...Some numerical solutions, but in the non-steady case, have been developed by Massoudi and Phuoc [23] and Srinivasan and Rajagopal [24]....
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...It is worth pointing out the fact that the structure of present solutions is completely different of that of Prusa [25] or Rajagopal et al. [26] solutions....
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...General solutions for the same problems in terms of a suitable system of eigenfunctions and eigenvalues, as well as qualitative and uniqueness results, have been established by Rajagopal et al. [26]....
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"Analytical solutions for some unste..." refers background in this paper
...CONTACT Constantin Fetecau c_fetecau@yahoo.com Section of Mathematics, Academy of Romanian Scientists, 050094 Bucharest, Romania © 2020 Informa UK Limited, trading as Taylor & Francis Group An important class of semi-inverse solutions contains the universal solutions established within the context of non-linear elasticity (see Ericksen [1,2]) and those of simplematerials (see Wineman [3], Carroll [4], Fosdick [5])....
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...An important class of semi-inverse solutions contains the universal solutions established within the context of non-linear elasticity (see Ericksen [1,2]) and those of simplematerials (see Wineman [3], Carroll [4], Fosdick [5])....
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