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Computation Fluid Dynamics (MESISI480725)

Computation Fluid Dynamics (MESISI480725)

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Using the hybrid formulation in the case of steady free-source convection-diffusion problems for |Pe| >2, the net convective flux is given as:

FwϕP−FeϕW{"version":"1.1","math":"F_w\phi_P-F_e\phi_W"}

FwϕW{"version":"1.1","math":"F_w\phi_W"}

100%

FwϕP{"version":"1.1","math":"F_w\phi_P"}

FwϕP−FeϕE{"version":"1.1","math":"F_w\phi_P-F_e\phi_E"}

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How to estimate diffusion gradient at the west side?

{"version":"1.1","math":"\Gamma_e=\frac{\Gamma_P+\Gamma_E}{2}"}ΓwAw(ϕE−ϕWδxWP){"version":"1.1","math":"\Gamma_w A_w \left( \frac{\phi_E-\phi_W}{\delta x_{WP}}\right)"}

ϕP−ϕWδxWP{"version":"1.1","math":" \frac{\phi_P-\phi_W}{\delta x_{WP}}"}

100%

(ϕE−ϕWδxWP){"version":"1.1","math":" \left( \frac{\phi_E-\phi_W}{\delta x_{WP}}\right)"}

ΓwAw(ϕP−ϕWδxWP){"version":"1.1","math":"\Gamma_w A_w \left( \frac{\phi_P-\phi_W}{\delta x_{WP}}\right)"}

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How to estimate diffusion coefficient at the east side?

{"version":"1.1","math":"\Gamma_e=\frac{\Gamma_P+\Gamma_E}{2}"}Γe=ΓP+ΓE2{"version":"1.1","math":"\Gamma_e=\frac{\Gamma_P+\Gamma_E}{2}"}

100%

Γe=ΓP−ΓE2{"version":"1.1","math":"\Gamma_e=\frac{\Gamma_P-\Gamma_E}{2}"}

Γe=ΓW+ΓE2{"version":"1.1","math":"\Gamma_e=\frac{\Gamma_W+\Gamma_E}{2}"}

Γe=ΓW−ΓE2{"version":"1.1","math":"\Gamma_e=\frac{\Gamma_W-\Gamma_E}{2}"}

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To approximate the eastern side of an internal control volume using the central differencing scheme we use:

ϕe=(ϕP+ϕE)/2{"version":"1.1","math":"\phi_e=(\phi_P+\phi_E)/2"}

100%

ϕe=(ϕP−ϕE)/2{"version":"1.1","math":"\phi_e=(\phi_P-\phi_E)/2"}

None of those

ϕe=(ϕP+ϕW)/2{"version":"1.1","math":"\phi_e=(\phi_P+\phi_W)/2"}

ϕe=(ϕP+ϕe)/2{"version":"1.1","math":"\phi_e=(\phi_P+\phi_e)/2"}

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How to estimate diffusion gradient at the west side?

{"version":"1.1","math":"\Gamma_e=\frac{\Gamma_P+\Gamma_E}{2}"}ΓwAw(ϕE−ϕWδxWP){"version":"1.1","math":"\Gamma_w A_w \left( \frac{\phi_E-\phi_W}{\delta x_{WP}}\right)"}

ϕP−ϕWδxWP{"version":"1.1","math":" \frac{\phi_P-\phi_W}{\delta x_{WP}}"}

(ϕE−ϕWδxWP){"version":"1.1","math":" \left( \frac{\phi_E-\phi_W}{\delta x_{WP}}\right)"}

ΓwAw(ϕP−ϕWδxWP){"version":"1.1","math":"\Gamma_w A_w \left( \frac{\phi_P-\phi_W}{\delta x_{WP}}\right)"}

100%

View this question

How to estimate diffusion gradient at the west side?

{"version":"1.1","math":"\Gamma_e=\frac{\Gamma_P+\Gamma_E}{2}"}ΓwAw(ϕE−ϕWδxWP){"version":"1.1","math":"\Gamma_w A_w \left( \frac{\phi_E-\phi_W}{\delta x_{WP}}\right)"}

ϕP−ϕWδxWP{"version":"1.1","math":" \frac{\phi_P-\phi_W}{\delta x_{WP}}"}

100%

(ϕE−ϕWδxWP){"version":"1.1","math":" \left( \frac{\phi_E-\phi_W}{\delta x_{WP}}\right)"}

ΓwAw(ϕP−ϕWδxWP){"version":"1.1","math":"\Gamma_w A_w \left( \frac{\phi_P-\phi_W}{\delta x_{WP}}\right)"}

View this question

How to estimate diffusion coefficient at the east side?

{"version":"1.1","math":"\Gamma_e=\frac{\Gamma_P+\Gamma_E}{2}"}Γe=ΓP+ΓE2{"version":"1.1","math":"\Gamma_e=\frac{\Gamma_P+\Gamma_E}{2}"}

100%

Γe=ΓP−ΓE2{"version":"1.1","math":"\Gamma_e=\frac{\Gamma_P-\Gamma_E}{2}"}

Γe=ΓW+ΓE2{"version":"1.1","math":"\Gamma_e=\frac{\Gamma_W+\Gamma_E}{2}"}

Γe=ΓW−ΓE2{"version":"1.1","math":"\Gamma_e=\frac{\Gamma_W-\Gamma_E}{2}"}

View this question

Using the hybrid formulation in the case of steady free-source convection-diffusion problems for |Pe| >2, the net convective flux is given as:

FwϕP−FeϕW{"version":"1.1","math":"F_w\phi_P-F_e\phi_W"}

100%

FwϕW{"version":"1.1","math":"F_w\phi_W"}

FwϕP{"version":"1.1","math":"F_w\phi_P"}

FwϕP−FeϕE{"version":"1.1","math":"F_w\phi_P-F_e\phi_E"}

View this question

How to estimate diffusion gradient at the west side?

{"version":"1.1","math":"\Gamma_e=\frac{\Gamma_P+\Gamma_E}{2}"}ΓwAw(ϕE−ϕWδxWP){"version":"1.1","math":"\Gamma_w A_w \left( \frac{\phi_E-\phi_W}{\delta x_{WP}}\right)"}