Question

Which of the following statements is/are CORRECT?

• A. Bond number includes surface tension.
• B. Jakob number includes latent heat.
• C. Prandtl number includes liquid-vapor density difference.
• D. Biot number includes gravity.

Hint:

Always recall definitions of dimensionless numbers.
Bond number compares gravity to surface tension.
Jakob number involves latent heat, important in boiling/condensation.
Prandtl relates momentum vs thermal diffusivity.
Biot compares internal vs external resistance in 64ac0493b52af67589bd410c.

Answer 1

The Correct Option is A, B

Step 1: Bond number. \(\text{Bo} = \dfrac{\Delta \rho g L^2}{\sigma}\). Includes surface tension \(\sigma\). So (A) is correct. Step 2: Jakob number. \(\text{Ja} = \dfrac{c_p (T-T_{sat})}{h_{fg}}\). Denominator is latent heat. So (B) is correct. Step 3: Prandtl number. \(\text{Pr} = \dfrac{c_p \mu}{k}\). Contains specific heat, viscosity, and thermal conductivity, not density difference. So (C) is false. Step 4: Biot number. \(\text{Bi} = \dfrac{hL}{k}\). Involves 64ac0493b52af67589bd410c coefficient, length scale, and thermal conductivity, not gravity. So (D) is false. \[ \boxed{\text{Correct: (A), (B)}} \]