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The average Nusselt number in laminar natural convection from a vertical wall at 180°C with still air at 20°C is found to be 48. If the wall temperature becomes 30°C, all other parameter remaining same, the average Nusselt number will be
- a)8
- b)16
- c)24
- d)32
Correct answer is option 'C'. Can you explain this answer?
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The average Nusselt number in laminar natural convection from a vertical wall at 180 can be calculated using the following formula:
Nu = 0.68 * Ra^(1/4)
Where Nu is the Nusselt number and Ra is the Rayleigh number.
The Rayleigh number is given by:
Ra = (g * β * ΔT * L^3) / (ν * α)
Where g is the acceleration due to gravity, β is the coefficient of thermal expansion, ΔT is the temperature difference between the wall and the surrounding fluid, L is the characteristic length, ν is the kinematic viscosity, and α is the thermal diffusivity.
Note that in this case, the wall is assumed to be at a constant temperature of 180°C.
You would need to know the specific values for g, β, ΔT, L, ν, and α in order to calculate the Nusselt number accurately.
Nu = 0.68 * Ra^(1/4)
Where Nu is the Nusselt number and Ra is the Rayleigh number.
The Rayleigh number is given by:
Ra = (g * β * ΔT * L^3) / (ν * α)
Where g is the acceleration due to gravity, β is the coefficient of thermal expansion, ΔT is the temperature difference between the wall and the surrounding fluid, L is the characteristic length, ν is the kinematic viscosity, and α is the thermal diffusivity.
Note that in this case, the wall is assumed to be at a constant temperature of 180°C.
You would need to know the specific values for g, β, ΔT, L, ν, and α in order to calculate the Nusselt number accurately.
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