Question

Match List I (Non-Dimensional Number) with List II (Formula):

LIST I	LIST II
A. Nusselt Number	I. \( \mu C_p / k_f \) (where \( k_f \) is thermal conductivity of fluid)
B. Biot Number	II. \( hL / k_s \) (where \( k_s \) is thermal conductivity of solid)
C. Prandtl Number	III. \( h / \rho C_p \)
D. Stanton Number	IV. \( hL / k_f \) (where \( k_f \) is thermal conductivity of fluid)

Choose the correct answer from the options given below.

• A. (A)- (I), (B)- (II), (C)- (III), (D)- (IV)
• B. (A)- (IV), (B)- (II), (C)- (I), (D)- (III)
• C. (A)- (I), (B)- (II), (C)- (IV), (D)- (III)
• D. (A)- (III), (B)- (IV), (C)- (I), (D)- (II)

Hint:

Each dimensionless number helps analyze different aspects of heat transfer and the corresponding formulas relate them to fluid dynamics and heat conduction properties

Answer 1

The Correct Option is A

Nusselt number (Nu): It is the ratio of convective to conductive heat transfer, calculated as \( \mu C_p / k_f \).

Biot number (Bi): It compares thermal resistance within a body to the resistance at its surface, given by \( hL / k_s \).

Prandtl number (Pr): It relates the kinematic viscosity to thermal diffusivity, calculated as \( h / \rho C_p \).

Stanton number (St): It defines the ratio of heat transfer to the thermal capacity, calculated as \( hL / k_f \).