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Inputs & Outputs

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InputsOutputs

Pipeline pipeline trajectory

LaTeX Math Inline
body{\bf r} = {\bf r}(l) = \{ x(l), \, y(l), \, z(l) \}

along-pipe temperature

LaTeX Math Inline
bodyT(t, l)
distribution

Pipeline pipeline cross-section area 

LaTeX Math Inline
bodyA(l)


Fluid fluid density

LaTeX Math Inline
body\rho(T, p)
and fluid viscosity 
LaTeX Math Inline
body\mu(T, p)


inflow temperature 

LaTeX Math Inline
bodyT_0(t)
, inflow pressure 
LaTeX Math Inline
bodyp_0
, inflow rate 
LaTeX Math Inline
bodyq_0


surrounding medium initial temperature  

LaTeX Math Inline
bodyT_g(l)
surrounding of the medium around pipeline


specific heat capacity

LaTeX Math Inline
bodyc_p(l)
, thermal conductivity 
LaTeX Math Inline
body\lambda_e(l)
  of the medium around pipeline


heat transfer coefficient 

LaTeX Math Inline
bodyU(l)
 based on pipeline schematic


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