Nusselt number for a pipe flow heat transfer coefficient is given by t...
Answer:
In heat transfer, the Nusselt number (Nu) is a dimensionless number that relates the convective heat transfer coefficient to the conductive heat transfer coefficient. It is used to determine the rate of heat transfer between a solid surface and a fluid flowing over it. The Nusselt number for a pipe flow heat transfer coefficient is given by the equation NuD = 4.36.
To determine the appropriate conditions for the use of this equation, we need to understand the key factors that affect heat transfer in a pipe flow. These factors include the flow regime (laminar or turbulent), the boundary condition (constant wall temperature or constant wall heat flux), and the pipe diameter (D).
Laminar flow and constant wall heat flux:
In laminar flow, the fluid particles move in smooth, parallel layers with little mixing between them. The flow is characterized by low velocities and high viscosity. In this case, the Nusselt number is given by the equation NuD = 3.66, which is different from the given equation. Therefore, this combination of conditions does not apply for the use of the given equation.
Turbulent flow and constant wall temperature:
In turbulent flow, the fluid particles move in a chaotic manner with high velocities and low viscosity. The flow is characterized by intense mixing and the formation of eddies and vortices. In this case, the Nusselt number is given by the equation NuD = 0.023Re^0.8Pr^0.4, where Re is the Reynolds number and Pr is the Prandtl number. This equation is different from the given equation. Therefore, this combination of conditions does not apply for the use of the given equation.
Turbulent flow and constant wall heat flux:
In turbulent flow with constant wall heat flux, the Nusselt number is given by the equation NuD = 0.023Re^0.8Pr^0.3. This equation is also different from the given equation. Therefore, this combination of conditions does not apply for the use of the given equation.
Laminar flow and constant wall temperature:
In laminar flow with constant wall temperature, the Nusselt number is given by the equation NuD = 4.36. This equation matches the given equation, which means that this combination of conditions exactly applies for the use of the given equation.
Therefore, the correct answer is option D: Laminar flow and constant wall heat flux.
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