Question 132 of 149

A beaker contains a fluid of density $\rho$$\dfrac{kg}{{m}^{3}}$ , specific heat $S\dfrac{J}{k{g}^{o}C}$ and viscosity $\eta$ . The beaker is filled up to height h. To estimate the rate of heat transfer per unit area $\left(\dfrac{Q^{˙}}{A}\right)$ by convection when beaker is put on a hot plate, a student proposes that it should depend on $\eta$ , $\left(\dfrac{S\Delta \theta }{h}\right)$ and $\left(\dfrac{1}{\rho g}\right)$ when $\Delta \theta$ ( ${in}^{o}C$ ) is the difference in the temperature between the bottom and top of the fluid. In that situation the correct option for $\left(\dfrac{Q^{˙}}{A}\right)$ is: