A sphere of radius r falls with terminal speed through a liquid and obeys Stokes' law. The sphere density is ρₛ and the liquid density is ρₗ. For fixed material and liquid properties, the rate of heat production due to viscous dissipation is proportional to which power of r?

Physics · Properties of solid and fluid · viscosity and terminal velocity

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A sphere of radius r falls with terminal speed through a liquid and obeys Stokes' law. The sphere density is ρₛ and the liquid density is ρₗ. For fixed material and liquid properties, the rate of heat production due to viscous dissipation is proportional to which power of r?

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