Quiz 2 The one-dimensional convection-diffusion equation without source term is expressed as: d d (d pu -T dx dx dx 0 u i-2 i-1 i i +1 i + 2 Ax Ax The transport velocity u and fluid properties p and are constant. If the domain is to be discretized by using control volumes with uniform size of Ax, as shows in figure above: (a) Discretize the given convection-diffusion equation for interior control volume i. Show all the necessary steps. Peclet number of the case is given as (0.04"last 2 digits of your ID). Write out the value of your Peclet number at the beginning of your answer, and use appropriate scheme that will give stable solution. PECLET NUMBER = 1.36 [10 Marks (b) Evaluate the order of accuracy of the discretized equation you derived in (a). Explain how you identify the order of accuracy. [10 Marks Quiz 2 The one-dimensional convection-diffusion equation without source term is expressed as: d d (d pu -T dx dx dx 0 u i-2 i-1 i i +1 i + 2 Ax Ax The transport velocity u and fluid properties p and are constant. If the domain is to be discretized by using control volumes with uniform size of Ax, as shows in figure above: (a) Discretize the given convection-diffusion equation for interior control volume i. Show all the necessary steps. Peclet number of the case is given as (0.04"last 2 digits of your ID). Write out the value of your Peclet number at the beginning of your answer, and use appropriate scheme that will give stable solution. PECLET NUMBER = 1.36 [10 Marks (b) Evaluate the order of accuracy of the discretized equation you derived in (a). Explain how you identify the order of accuracy. [10 Marks