Scaling of Transient Particle-Fluid Heat Transfer in Brownian Motion

The scaling of transient particle-fluid heat transfer in Brownian motion is presented. The nanoparticles with an initial temperature Tp,i are introduced into a fluid with an initial temperature Tp,f, then the particles and the fluid will exchange energy until they reach equilibrium. The velocity of the particles due to Brownian motion will be a function of the particle temperature, the Boltzmann constant kb, the particle density, and the particle diameter. The heat transfer equation can be simplified using the first law of thermodynamics. It has been observed that the difference in fluid-particle heat transfer due to particles accelerating and decelerating has a quantifiable effect on nanofluid heat transfer.