Shell balance in spherical coordinates

AI Thread Summary
The discussion focuses on deriving the equation of continuity in spherical coordinates using shell balance, specifically questioning the origin of the sin(theta) term. This term arises from projecting onto the x,y-plane at a zenith angle from the z-axis, rather than from the azimuthal angle that revolves around the x,y-plane. Participants mention resources like Wikipedia and HyperPhysics for further clarification on spherical coordinates. The emphasis is on understanding the geometric implications of spherical coordinates without converting from Cartesian coordinates. The conversation highlights the importance of visualizing these projections in fluid dynamics.
natanreal
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I want to derive equation of continuity in spherical coordiantes based on shell balance,can anybody tell me where the hell this sin(theta) comes from?
i don't want to transform from cartesian,
 
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