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Why shape function is kept orthogonal to residue in Galerkin method?

I have a question regarding the shape functions. Why the shape function is kept orthogonal to residue in Galerkin method? Looking forward to hearing from you all.

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How do we achieve these constant processes?

Hi All,

Most of the time in thermal fluid sciences we hear about some iso processes like isothermal, is-entropic, constant enthalpy etc. Physically
how do we achieve these processes while increasing/decreasing certain factors which effect these processes? Please give few examples?

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