Question:

Consider a hydrodynamically fully developed laminar flow through a circular pipe with the flow along the axis (i.e., z direction). In the following statements, T is the temperature of the fluid, Tw is the wall temperature and Tm is the bulk mean temperature of the fluid. Which one of the following statements is TRUE?

  • For a thermally fully developed flow,\(\frac{\partial T}{\partial z}=0\), always.
  • For constant wall temperature of the duct,\(\frac{dT_m}{dz}=\)constant.
  • Nusselt number varies linearly along the z direction for a thermally fully developed flow.
  • For constant wall temperature (Tw > Tm) of the duct,\(\frac{dT_m}{dz}\) increases exponentially with distance along z direction.
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The Correct Option is D

Solution and Explanation

The correct option is (D): For constant wall temperature (Tw > Tm) of the duct,\(\frac{dT_m}{dz}\) increases exponentially with distance along z direction.
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