# 7.4.4.1: Energy Equation in Accelerated Coordinate with Uniform Flow

One of the way to simplify the general equation (105) is to assume uniform flow. In that case the time derivative term vanishes and equation (105) can be written as

$\label{ene:eq:AccCVgeneralss1} \dot{Q} - \dot{W} = \int_{cv} \left( h + \dfrac{U^2}{2\dfrac{}{}} + a_x\,x + a_y\, y + (a_z + g) - z\, \dfrac{\omega^2 \,r^2}{2} \right) U_{rn}\, \rho\,dA\\ \nonumber + \int_{cv} P\,U_{bn} \,dA \tag{106}$
$\label{ene:eq:ene:AccCVgeneralss} \dot{Q} - \dot{W} = \left( h + \dfrac ParseError: invalid DekiScript (click for details) Callstack: at (Under_Construction/Purgatory/Book:_Fluid_Mechanics_(Bar-Meir)__-_old_copy/07:_Energy_Conservation/7.4:_Energy_Equation_in_Accelerated_System/7.4.4:_Simplified_Energy_Equation_in_Accelerated_Coordinate/7.4.4.1:_Energy_Equation_in_Accelerated_Coordinate_with_Uniform_Flow), /content/body/p[2]/span, line 1, column 1  _{rn}\, \rho\,dA\\ + \int_{cv} P\,{\overline{U}}_{bn} \,dA \tag{107}$