Consider a vector flow variable which can be decomposed as \(\vec{a}=\vec{A}+\vec{a’}.\overline{div \,\vec{a}}\) will be equal to ____________(a) div \(\vec{A}\)(b) \(\overline{div \vec{a’}}\)(c) \(\overline{div \vec{a}}\)(d) \(\overline{div \vec{A}}\)The question was asked in exam.My doubt is from Turbulence Modelling in chapter Turbulence Modelling of Computational Fluid Dynamics

Consider a vector flow variable which can be decomposed as \(\vec{a}=\

1.	Consider a vector flow variable which can be decomposed as \(\vec{a}=\vec{A}+\vec{a’}.\overline{div \,\vec{a}}\) will be equal to ____________(a) div \(\vec{A}\)(b) \(\overline{div \vec{a’}}\)(c) \(\overline{div \vec{a}}\)(d) \(\overline{div \vec{A}}\)The question was asked in exam.My doubt is from Turbulence Modelling in chapter Turbulence Modelling of Computational Fluid Dynamics
Answer» The correct answer is (a) DIV \(\VEC{A}\) To explain: From the given PROBLEM, \(\overline{div \,\vec{a}}=div\overline{\vec{a}}=div\overline{\vec{A}+\vec{a’}} = div\overline{\vec{A}}=div\vec{A}\).

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