تحليل ويمرخ سطح آة در سرريس جبوبي لب پ ه ذيزوق اي بب استفبد از تبديل م جکي بر
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1 مجل پصي ص آة ايران جلد /9 ضمبر /2 پيبپي /7 تببستبن )-9( 394 تحليل ويمرخ سطح آة در سرريس جبوبي لب پ ه ذيزوق اي بب استفبد از تبديل م جکي بر سبر سيبري ي حديث حدادي * مجيد رحيمپ ر چکيد ياش بي كليدي ارجبع: * و يسىد مسئ ل: sarehm@gmail.com
2 تحليل ويمرخ سطح آة در سرريس جبوبي لب پ ه ذيزوق اي بب استفبد مقدم C e. CHM - Che ad Hsiao Method
3 93 مجل پصي ص آة ايران/ جلد 9/ ضمبر 2/ پيبپي 7/ تببستبن 394 CHM SM PCA ضکل - چ بر م جک ايل بر SM h () h t h2 t h3 t ODE PDE CHM م جک بر H 4 t h () t h () t h2 () t h3 () t اوتگرالگيري از تببع بر h h t t t 2 t 2 elsewhere t elsewhere h (t) h (t) t H4() t 8 j h 2 ; t h t k j 2 k, j, k 2 h (t) (,/2) j h 2 (t) h (t) t H t dt P H (t) Segmetatio Method 2- Piecewise Costat Approximatio
4 تحليل ويمرخ سطح آة در سرريس جبوبي لب پ ه ذيزوق اي بب استفبد QH P4 6 P معبدل ديىبميکي جريبن ريي سرريس لب پ ه ذيزوق m dq Q d dx dx gb Q B Q P m 2 mpm H m m H m 2 P 2 g dq 2 C 2g s dx 3 m 3 2 C m dq 4 C 2 g ( s) dx 5 m 3 2 شکل 2- چ ار اوتگرال ايل تابع ار حل معبدل ديىبميکي جريبن ريي سرريس لب پ ه ذيزوق بب ريش م جک بر SM dq Q d dx dq 4 C 2g s dx gb Q, dx 5 m 3 2 N d + x x ( l.5) / 2M l x Pi x hi x dx x Qi x Pi x dx ( l,2,,2 M) 2M=4 x x d,2,, N
5 95 مجل پصي ص آة ايران/ جلد 9/ ضمبر 2/ پيبپي 7/ تببستبن 394 a=a F a a a a F( a) a a Q a x x d 2M j j, j,2,,2 M 2M 2 d F x d, ah, aph E E 2M a Q 2 Q Q ah d F x d, aph E + a Q 2 a( PH ) E Q ε ε PH Y Y [,,,.,] T a E Matlab d ah, aph E dx dq bh Q bph Q E, dx b Q م اد ي ريش ب a d F f (, Q) dx d F f ( ) dx F f ( ) H PH a
6 تحليل ويمرخ سطح آة در سرريس جبوبي لب پ ه ذيزوق اي بب استفبد شکل 3- شماي کلي فل م شکل 5- ومايي از سرريس جاوبي شکل 4- ح ضچ آرامش ابتذاي فل م ي يرق شىاير جديل - محديد متغير بي آزمبيص ضد (V: zh) Fr Q s (lit/s) s(cm) b(cm) وتبيج ي بحث E percet ˆ ˆ ŷ
7 ي ب 97 مجل پصي ص آة ايران/ جلد 9/ ضمبر 2/ پيبپي 7/ تببستبن 394 N 2 E ( ˆ rms ui ui ) N i u ˆi / 2 N u i جذيل 2- پارامتر اي تعييه کىىذ ويمرخ سطح آب در سرريس جاوبي )s( )l/s( :z )C m ( M ضکل 6- مقبيس ويمرخ حل عددي ي اوداز گيري ضد )حبلت بي 6- الف ي 6- ة در جديل 2(
8 ي ب ي ب ي ب Y (cm) Y (cm) تحليل ويمرخ سطح آة در سرريس جبوبي لب پ ه ذيزوق اي بب استفبد ضکل 7- مقبيس ويمرخ حل عددي ي اوداز گيري ضد )حبلت بي 7- الف ي 7- ة در جديل 2( ضکل 8- مقبيس ويمرخ حل عددي ي اوداز گيري ضد )حبلت بي 8- الف ي 8- ة در جديل 2( ب م ادير اوذاز يري شذ ري م ج ار S= cm 5 5 X (cm) ا م ادير اوذاز يري شذ ري م ج ار S=5 cm 5 5 X (cm) ضکل 9- مقبيس ويمرخ حل عددي ي اوداز گيري ضد )حبلت بي 9- الف ي 9- ة در جديل 2( شکل - ميسان E rms در حا ت اي مختل
9 ة- 99 R 2 NV EV مجل پصي ص آة ايران/ جلد 9/ ضمبر 2/ پيبپي 7/ تببستبن 394 R 2 = R 2 = E u uˆ, i,2,..., N abs i i u i uˆi جديل 3- مقبيس دي ريش بر بب 2=J ي ريش راوج ك تب در X(m) ui فلا- وتيج گيري حبلت 7 ui Eabs جديل 4- مقبيس دي ريش بر بب 2=J ي ريش راوج ك تب در X(m) ui حبلت 9 ui Eabs مىببع 2 2 NV ( i ), EV ( i ), i i i i NV, EV
10 تحليل ويمرخ سطح آة در سرريس جبوبي لب پ ه ذيزوق اي بب استفبد Lepik. U. 28. Solvig itegral ad differetial equatios b the aid of o-uiform Haar wavelets. Applied Mathematics ad Computatio. 98(): Misiti M. Misiti Y. Oppeheim G. ad Poggi J. M. 2. Wavelet toolbox for use with Matlab. The math works. 2. Muslu Y. Yüksel E. ad Tozluk H. 24. Trasitio effects i flow over side weirs. Joural of Irrigatio ad Draiage Egieerig. 3(): Rahimpuor M. Keshavarz Z. ad Ahmadi M. M. 2. Flow over trapezoidal side weir. Flow Measuremet ad Istrumetatio. 22: Ramamurth A. S. Tim U. S. ad Carballada L Lateral weirs i Trapezoidal chael. Joural of Irrigatio ad Draiage Egieerig. 2(2): Swamee P. K. Satosh K. P. ad Masoud S. A Side weir aalsis usig elemetar discharge coefficiet. Joural of Irrigatio ad Draiage Egieerig. 2(4): Abdel A. M. Dickerso J. R. ad Chaudhr M. H. 29. Wavelet-Galerki solutio to the water hammer equatios. ASCE. Joural of hdraulic egieerig. 35(4): Borghei S. M. ad Parvaeh A. 2. Discharge characteristics of a modified oblique side weir i subcritical Flow. Flow Measuremet ad Istrumetatio. 22(5): Cettai C. 24. Haar wa velets based techique i evolutio problems Proceedigs of the Estoia Academ of Scieces, Phsics, Mathem. 53(): Che C. H Wavelet approach to optimizig damic sstem. Cotrol Theor ad Applicatios. IEE Proceedigs. 46(2): Che C. H. ad Hsio C. H Haar wavelet method for solvig lumped ad distributedparameter sstem. Cotrol Theor ad Applicatios, IEE proceedigs. 44(): Daubechies I Orthoormal bases of compactl supported wavelets. Commuicatios o Pure ad Applied Mathematics. 4(7): Dwight F. Kraig M. ad Olejiczak J. 23. Elemets of wavelets for egieers ad Scietists, Wile-itersciece. 256 p. 2. Ghodsia M. 24. Flow over triagular side weir. Joural Scietia Iraica Trasactio o Civil Egieerig. (): Graps A A Itroductio to wavelet. Computig i Sciece ad Egieerig. 2(2): Harihara G. ad Kaa K. 2. Haar wavelet method for solvig some oliear Parabolic equatios. Joural of Mathematical Chemistr. 48(4): Latto A. Resikoff H. ad Teebaum E The evaluatio of coectio coefficiets of compactl supported wavelets. Proc. of the Frech USA Workshop o Wavelets ad Turbulece, Priceto Uiversit, Y. Mada,, Spriger -Verlag, New York. 23 p. 6. Lepik U. 25. Numerical solutio of differetial equatios usig Haar wavelets. Mathematics ad Computers i simulatio. 68(2): Lepik U. 27. Numerical solutio of evolutio equatios b the Haar wavelet method. Applied Mathematics ad Computatio. 85():
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