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Heat Transfer
Convection
GATE 2015
Easy

A heated solid copper sphere (surface area A, volume V) is immersed in cold fluid (negligible internal resistance, h,ρ,C,k constant). At time t, the temperature difference between sphere and fluid is proportional to

  • exp[−hAt/(ρVC)]
  • Bexp[−ρVCt/(hA)]
  • Cexp[−4πkt/(ρCA)]
  • Dexp[−ρCAt/(4πk)]

Explanation

The standard lumped-capacitance result: θ/θ0=exp[−hAt/(ρVC)].

Source: GATE CH 2015 (2015)

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