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Specific heat, coefficient of viscosity, and thermal conductivity are related in the

  • A.Prandtl number
  • B.Reynolds number
  • C.Froude number
  • D.Biot number

Answer: A

The group is the Prandtl number.

\[ Pr = \frac{c_{p}\,\mu}{k} \]

It combines specific heat \(c_{p}\), dynamic viscosity \(\mu\) and thermal conductivity \(k\), and compares how fast momentum diffuses with how fast heat diffuses in the fluid.

The Reynolds number \(\rho V L/\mu\) contains viscosity but no thermal property. The Froude number \(V/\sqrt{gL}\) compares inertia with gravity. The Biot number \(hL/k\) contains the thermal conductivity of a solid and a convective coefficient, but no specific heat or viscosity.

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