کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7061481 | 1459038 | 2013 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Compressible Poiseuille flows with exponential type pressure-dependent mass density
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی شیمی
جریان سیال و فرایندهای انتقال
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The effect of fluid compressibility in steady, Newtonian and viscoelastic, isothermal, laminar flows is studied. The mass density of the fluid is assumed to vary exponentially with pressure, and viscoelasticity is taken into account by employing the Oldroyd-B constitutive model. The flow problems are solved using a regular perturbation scheme in terms of the dimensionless isothermal compressibility parameter, ε. The sequence of partial differential equations resulting from the perturbation procedure is solved analytically up to third-order in ε. So far, this is the highest order analytical solution derived for Newtonian and viscoelastic compressible flows. Special emphasis on the validity and convergence of the perturbation series is given. It is shown that the inclusion of the third-order term in the perturbation series has important consequences for the preservation of the physical properties of the solution, which is composed up to third order, as well as its convergence. Furthermore, the high accuracy of the perturbation solution in conjunction with the requirement for a positive definite conformation tensor results in monotonic flow curves, as opposed to non-monotonic ones derived in previous works. Cross-sectional averaged expressions for the pressure drop, volumetric flow rate, skin friction factor, and the first- and second-normal stress differences are derived and discussed. For the Newtonian case, the theoretical results for the pressure drop versus the Reynolds number follow the same trend with experimental data from the literature for a much wider range of the dimensionless numbers and parameters to those reported in previous works, which is mainly due to the fact that a more realistic (exponentially, pressure-dependent) equation of state has been utilized.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Non-Newtonian Fluid Mechanics - Volume 201, November 2013, Pages 94-106
Journal: Journal of Non-Newtonian Fluid Mechanics - Volume 201, November 2013, Pages 94-106
نویسندگان
Kostas D. Housiadas,