Download Modeling of Oil Product and Gas Pipeline Transportation by Mikhail V. Lurie, Emmanuil Sinaiski PDF

By Mikhail V. Lurie, Emmanuil Sinaiski

ISBN-10: 3527408339

ISBN-13: 9783527408337

In response to a good tried-and-tested lecture on the Russian nation college of Oil and fuel, this obtainable method of the idea of pipeline transportation offers systematic assurance of assorted varieties of fluids, subsidized through real-world examples. From the contents:* basics of mathematical modeling of one-dimensional flows* types of transported media* constitution of laminar and turbulent fluid flows* Modeling and calculation of steady-state regimes * Closed mathematical versions of one-dimensional fluid and fuel flows * Dimensional concept* actual modeling of phenomena* size and similarity in mathematical modeling of processesEnd-of-chapter difficulties make this useful e-book constant and compatible for self-study.

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Example text

It is required to obtain the temperature of oil pumping over the pipeline section of length 150 km in cross-sections x = 50, 100 and 125 km, if the temperature at the beginning of the pipeline T0 = 60 ◦ C, that at the end TL = 30 ◦ C, and that of the environment Tex = 8 ◦ C. The extracted heat of internal friction may be ignored. Solution. Using Eq. 4231)x/150 . 4 C. = 47 C; T(100) ∼ 2. g. 41) takes the form ρvS dJ = πd · qn . , where Cp is the gas specific heat capacity at constant pressure (Cp > Cv ; Cp − Cv = R).

Using Eq. 5 · 109 )] = 757 kg m−3 . The density is increased by 12 kg m−3 . 2). The quantity γ˙ = du/ dy having the sense of velocity gradient with dimension s−1 , is called the shear rate. 3. This dependence states: ‘‘Tangential stresses arising in a medium having been modeled by a Newtonian viscous fluid are proportional to the shear rate of the fluid layers relative to each other. ’’ The dynamic viscosity of fluid µ is represented in this model by the slope of a straight line on the plane (˙γ, τ) : µ = tan ϕ, where ϕ is the angle of inclination of the straight line to the abscissa.

To use Eq. 47) one should go to the limit at κ → 0, therefore it would be better to use Eq. 004 · 150 · 103 /1950 ∼ = 3 K. Exercise 3. It is required to obtain the temperature of oil pumping over the pipeline section of length 150 km in cross-sections x = 50, 100 and 125 km, if the temperature at the beginning of the pipeline T0 = 60 ◦ C, that at the end TL = 30 ◦ C, and that of the environment Tex = 8 ◦ C. The extracted heat of internal friction may be ignored. Solution. Using Eq. 4231)x/150 .

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Modeling of Oil Product and Gas Pipeline Transportation by Mikhail V. Lurie, Emmanuil Sinaiski


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