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OCTOBER 19-20, 2012 - YMCA University of Science & Technology

OCTOBER 19-20, 2012 - YMCA University of Science & Technology

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Proceedings <strong>of</strong> the National Conference on<br />

Trends and Advances in Mechanical Engineering,<br />

<strong>YMCA</strong> <strong>University</strong> <strong>of</strong> <strong>Science</strong> & <strong>Technology</strong>, Faridabad, Haryana, Oct <strong>19</strong>-<strong>20</strong>, <strong>20</strong>12<br />

⎡ ⎡<br />

γ<br />

P01<br />

− P02<br />

⎤<br />

2<br />

⎤⎤<br />

γ −1<br />

1 ⎢1<br />

⎥⎢<br />

⎡ P<br />

1 −<br />

s<br />

− − ⎢<br />

⎥⎥<br />

γ<br />

ξ<br />

y<br />

= ⎡ P2<br />

⎤<br />

⎣ ⎣ P01<br />

− P2<br />

⎦⎣<br />

P<br />

s s<br />

01 ⎦<br />

⎦<br />

(2.4)<br />

⎢ ⎥<br />

γ −1<br />

γ −1<br />

⎣ P01<br />

⎦ ⎡ ⎤<br />

γ ⎡<br />

⎤ γ<br />

⎢ ⎡ P2<br />

⎤ ⎡<br />

01<br />

−<br />

02<br />

⎤<br />

2<br />

⎤<br />

1−<br />

⎥<br />

⎢1<br />

− ⎢ ⎥⎢<br />

⎡ s<br />

P P P<br />

1 −<br />

s<br />

⎢ ⎢ ⎥ ⎥<br />

⎥⎥<br />

01<br />

⎣ ⎣ 01<br />

−<br />

2 ⎦⎣<br />

01 ⎦<br />

⎢<br />

⎣ P ⎦ P P<br />

s<br />

P<br />

⎥<br />

⎦<br />

⎣ ⎦<br />

γ −1<br />

3. Result and Discussion<br />

Initially the turbine cascade was designed by Gambit®. The boundary types were defined in the pre-processor itself.<br />

The exported mesh <strong>of</strong> the cascade was analyzed using the Fluent 6.2 as solver. The detailed boundary conditions<br />

were described in Fluent. The flow field <strong>of</strong> smooth turbine cascade was analyzed. The flow, pressure, velocity<br />

vector, flux were analyzed at appropriate location. Average total loss coefficients were computed from simulation<br />

results along blade pitch. Results were compared with experimental values <strong>of</strong> % loss coefficients measured along the<br />

pitch by Samsher [16] and shown in Fig. 4.<br />

Fig 4: Validation <strong>of</strong> computational result with the experimental result obtained by Samsher[16]<br />

There is good agreement between trend <strong>of</strong> computational results & experimental data. Aim <strong>of</strong> validation is to show that<br />

present numerical model used for simulation is reliable & can be used with confidence for further analysis & parametric<br />

studies.<br />

After validating the simulation model, the focus got shifted to the actual area <strong>of</strong> interest. The aim <strong>of</strong> this project is to find<br />

out the secondary loss in smooth and rough cascade and then analyzing the variation <strong>of</strong> secondary loss with roughness.<br />

Average total loss coefficients were computed from simulation results along the complete blade span. Average loss<br />

coefficients were computed at 2 mm interval for first 10 mm height from bottom end wall. Thereafter it was computed at<br />

every 5 mm interval till 85 mm blade height. Finally for the last 10 mm height it was again computed at every 2 mm<br />

interval. At the inlet, total pressure and at the exit, total as well as static pressure were being noted down along the whole<br />

blade span.<br />

The total (combined) losses in a blade cascade are estimated by the energy loss coefficient ζ , which is essentially the sum<br />

<strong>of</strong> pr<strong>of</strong>ile loss coefficient & end loss coefficient as given by Kostyuk and Frolov (<strong>19</strong>88) in equation 4.1.<br />

ζ (total) = ζ (pr) + ζ (sec) (3.1)<br />

Loss coefficient calculated at blade mid span, where the flow is two-dimensional & influence <strong>of</strong> end wall effect is<br />

not present, constitutes pr<strong>of</strong>ile losses and is representative <strong>of</strong> two dimensional reference flows. Thus end loss<br />

137

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