Match Group $$A$$ with Group $$B$$

Group-A
$$P:$$$$\,\,\,\,\,\,\,$$ Biot number
$$Q:$$$$\,\,\,\,\,\,\,$$ Grashof number
$$R:$$$$\,\,\,\,\,\,\,$$ Prandtl number
$$S:$$$$\,\,\,\,\,\,\,$$ Reynolds number

Group-B
$$1:$$$$\,\,\,\,\,\,\,$$ Ratio of buoyancy to viscous force
$$2:$$$$\,\,\,\,\,\,\,$$ Ratio of inertia force to viscous force
$$3:$$$$\,\,\,\,\,\,\,$$ Ratio of momentum to thermal diffusivities
$$4:$$$$\,\,\,\,\,\,\,$$ Ratio of internal thermal resistance to boundary layer thermal resistance

For laminar forced convection over a flat plate, if the free stream velocity increases by a factor of $$2,$$ the average heat transfer coefficient

Consider a two-dimensional laminar flow over a long cylinder as shown in the figure below.

The free stream velocity is $${U_\infty }$$ and the free stream temperature $${T_\infty }$$ is lower than the cylinder surface temperature $${T_s}.$$ The local heat transfer coefficient is minimum at point

A coolant fluid at $${30^ \circ }C$$ flows over a heated flat plate maintained at a constant temperature of $${100^ \circ }C$$. The boundary layer temp distribution at a given location on the plate may be approximated as $$T=30+70exp(-y),$$ where $$y$$ (in $$m$$) is the distance normal to the plate and $$T$$ is in $$^ \circ C.$$ If thermal conductivity of the fluid is $$1.0W/mk,$$ the local convective heat transfer (in $$W/{m^2}K$$) at that location will be