Railways Technical Ability Fluid Mechanics and Machinery Question Bank Fluid Mechanics

  • question_answer If the governing equation for a flow field is given by \[{{\nabla }^{2}}\phi \,=\,0\] and the velocity is given by \[\overrightarrow{V}\,=\,\nabla \phi ,\] the:

    A) \[\nabla \times \overrightarrow{\nabla }=0\]                      

    B) \[\nabla \times \overrightarrow{V}=1\]

    C) \[{{\nabla }^{2}}\times \overrightarrow{\nabla }=1\]                  

    D) \[(\overrightarrow{\nabla }.\nabla )\,\overrightarrow{\nabla }=\frac{\partial \,\overrightarrow{\nabla }}{\partial \,t}\]

    Correct Answer: A


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