alleryStart learning →Conservation of THERMAL ENERGY in a flowing fluid involves which key terms?
AJust $\rho c_p T$
B$\rho c_p DT/Dt = \nabla \cdot (k\nabla T) + \dot{q} + \Phi$, where Φ is viscous dissipation
CConstant T
D$T = 0$
Answer & Solution
Correct answer: B. $\rho c_p DT/Dt = \nabla \cdot (k\nabla T) + \dot{q} + \Phi$, where Φ is viscous dissipation
**Energy equation:** rate of T change (left) = conduction + heat sources + viscous dissipation (right).
Φ is the rate at which mechanical energy is converted to heat by viscous shear (typically negligible at low Mach, important in lubrication/high-speed flow).
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