Develop the formula (10.43) for the case of the (x)-momentum equation of a two-dimensional steady-state incompressible flow

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Develop the formula (10.43) for the case of the \(x\)-momentum equation of a two-dimensional steady-state incompressible flow discretized on a structured uniform finite difference grid. Use central differences of the second-order and staggered grid arrangement. Derive expressions for all the coefficients \(a_{\mathrm{p}}(\boldsymbol{u}), a_{\ell, \mathrm{P}}(\boldsymbol{u}) Q_{\mathrm{p}}(\boldsymbol{u})\).

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