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| borderColor | wheat |
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| bgColor | mintcream |
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| borderWidth | 7 |
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| Incompressible fluid | LaTeX Math Inline |
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| body | \rho(p) = \rho_0 = \rm const |
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means that fluid velocity is going to be constant along the trajectory | LaTeX Math Inline |
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| body | --uriencoded--u(l) = u_0 = \frac%7Bq_0%7D%7BA%7D = \rm const |
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.The For the constant viscosity | LaTeX Math Inline |
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| body | \mu(T, p) = \mu_0 = \rm const |
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along the pipeline trajectory the Reynolds number | LaTeX Math Inline |
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| body | --uriencoded--\displaystyle %7B\rm Re%7D = \ |
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frac%7Bu \cdot d%7D%7B\nu_0%7D may still be varying along the trajectory due to the influence of temperature profile on kinematic viscosity| q_0%7D%7B\pi d%7D \frac%7B1%7D%7B\mu_0%7D = \rm const |
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and Darcy friction factor \nu(l) = \frac%7B\mu(T(l))%7D%7B\rho_0%7D| f(%7B\rm Re%7D, \, \epsilon) = f_0 = \rm const |
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are going to be constant along the pipeline trajectory.
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The first term in
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defines the hydrostatic column of static fluid while the last term defines the friction losses under fluid movement:
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