The component of acceleration in x-direction is

1
\({a_x} = u\frac{{\partial u}}{{\partial x}} + \;v\frac{{\partial u}}{{\partial y}} + w\frac{{\partial u}}{{\partial z}} + \frac{{\partial u}}{{\partial t}}\;\)
2
\({a_x} = u\frac{{\partial u}}{{\partial x}} - \;v\frac{{\partial u}}{{\partial y}} - w\frac{{\partial u}}{{\partial z}} + \frac{{\partial u}}{{\partial t}}\;\)
3
\({a_x} = u\frac{{\partial u}}{{\partial x}} - \;v\frac{{\partial u}}{{\partial y}} - w\frac{{\partial u}}{{\partial z}}- \frac{{\partial u}}{{\partial t}}\;\)
4
\({a_x} = u\frac{{\partial u}}{{\partial x}} + \;v\frac{{\partial u}}{{\partial y}} + w\frac{{\partial u}}{{\partial z}} - \frac{{\partial u}}{{\partial t}}\;\)

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