EFFECTS OF CONJUGATE HEAT TRANSFER AND VISCOUS DISSIPATON FLOW OVER ON A VERTICAL PLATE

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1 Ahmet KAYA * Orhan AYDIN Muhammed Ene KUYUMCU Karade *orumlu yazar: ekaya8@gmail.com : olan a ve tranferinin ahip -Stoke ve enerji denklemleri benzerlik. Daha onra bu denklemeler Keller- k olarak ve parametrelerinin Anahtar Kelimeler: vikoz Keller- EFFECS OF CONJUGAE HEA RANSFER AND VISCOUS DISSIPAON FOW OVER ON A VERICA PAE Abtract: In thi tudy the effect of buoyancy vicou diipation and conjugate heat tranfer external flow over a vertical plate have been invetigated. he plate ha a finite thickne and one ide i held a finite temperature. In order to determine the velocity and temperature ditribution in the flow area the equation of Navier-Stoke and energy are tranformed into the boundary layer equation uing the imilarity method. hen thee equation olved numerically uing the Keller box method. he effect of the conjugate heat tranfer vicou diipation and the buoyancy parameter on the velocity and temperature profile a well a on the local kin friction and local heat tranfer are determined. eting the accuracy of the numerical method the reult are compared with thoe available in the exiting literature and an excellent agreement i obtained. Keyword: conjugate heat tranfer buoyancy vicou diipation Keller-Box etkiini Chang [] hem de Pop vd. [] ve Mamun vd. [] ie ince al plaka Azim vd. [] tranferine b Miyamoto vd. [ [78 Kaya vd. []

2 tranferine vikoz a kuvveti parametrelerinin etkii hem de parametrelerinin y= = w (x) u= v= () burada w ve alt w (x) kabul edilin (>>b). Burada e edilebilir [9]. w (x)) belirlemektir. plakadan bir e daha b ve > dur. nin u ve dur. denklemler genel : () (a) [7-]. (y=) (b) () Burada k ve k f iletkenlik () () edilir []: w lde (7) w (x) : g / (8) burada () ve x -b y u (9) / () Burada u ve v kinematik vikozite g ;

3 burada () () ; () f parametreidir. p = oldu conjugate du nin p []. Pr Gr Ri Re p () (mixed convection) parametrei Ri =... ve.; -... ve Pr =. Bu a ablo. ekenel Ri=7.9 ve.) Chang [] loyd and Sparrow [] p tabaka. Ec=. ve Pr =. nin (p) duvardaki h azal Duvar nin (k ) nin (k f - ile Burada; Ri belirten Richardon Ri= Re ortalama Reynold a Gr ortalama Grahof ; Pr Prandtl r []. olan Keller box metodu ile n merik Cebeci ve Bradhaw [ numerik ] ve loyd ve Sparrow [ Denklem ve Denklem b momentum makta cidardaki da (yerel a. uyumludur. parametrenin y Bu. BUGUAR VE azaltmak parametrei.. ve.; etkii (p=) duvar hemde izotermal olmayan (p>) (mixed) etrei

4 KAYNAKAR g... 7a da keltmektedir. SEMBOER f Gr Ec Pr Re Ri xy plaka uzu Prandtl Reynold koordinat itemi Yunan Sembolleri v Alt indiler w duvar dinamik vikozite kinematik vicozite kiyonu 7 olan. [] M. Miyamoto J. Sumikawa Nakamura Effect of axial heat conduction in a vertical flat plate on free convection heat tranfer Int. J. Heat Ma ranf. (98) -. [] M.I. Char C.K. Chen J.W. Cleaver Conjugate forced convection heat tranfer from a continuou moving flat heet Int. J. Heat Fluid Fl. (99) 7. [] I. Pop B. Ingham Y. Yuan Mixed Convective Conjugate Heat ranfer from a Vertical Flat Plate ZAMM Z. Angew. Math. Me. 7 () (99) [] C.. Chang Numerical imulation of micropolar fluid flow along a flat plate with wall conduction and buoyancy effect J. Phy. D: Appl. Phy. 9 (). [] A.A. Mamun Z.R. Chowdhury M.A. Azim M.A. Maleque Conjugate heat tranfer for a vertical flat plate with heat generation effect Nonlinear Analyi: Model. Cont. () 8. [] M.A. Azim A.A. Mamun M.M. Rahman Vicou Joule heating MHD conjugate heat tranfer for a vertical flat plate in the preence of heat generation International Communication in Heat and Ma ranfer 7 () 7 [7] A. Kaya Effect of Conjugate Heat ranfer on Steady MHD Mixed Convective Heat ranfer Flow over a hin Vertical Plate Embedded in a Porou Medium with High Poroity Mathematical Problem in Engineering (ISI) Volume Article ID 87 9 page doi:.//87 [8] A.Kaya Effect of buoyancy and conjugate heat tranfer on non-darcy mixed convection about a vertical lender hollow cylinder embedded in a porou medium with high poroity International Journal of Heat and Ma ranfer (ISI) () 88-8 DOI:./j.ijheatmatranfer... [9] Pozzi A and upo M 988 he coupling of conduction with laminar natural convection along a flat plate Int. J. Heat Ma ranfer 87 [] C.. Chang Numerical imulation of micropolar fluid flow along a flat plate with wall conduction and buoyancy effect J. Phy. D: Appl. Phy. 9 (). []. Cebeci P. Bradhaw Momentum ranfer in Boundary layer Hemiphere Wahington D.C. USA 977. [] C.. Chang Numerical imulation of micropolar fluid flow along a flat plate with wall conduction and buoyancy effect J. Phy. D: Appl. Phy. 9 (). [] J.R. loyd M. Sparrow Combined force and free convection flow on vertical urface Int. J. Heat Ma ran. (97) 8

5 p=. p=. p=. Ec= Ec= -. Ec=. Ec=. p= p=. p=. p=. Ec= f( ) Ec= -. Ec=. Ec=. f'( ) p= ( ) profillerine ( ) parametreinin (Ec) etkii.. p=. p=. p=. Ec=.. Ec= -. Ec=. Ec=. p= p=. p=. p=. Ec=.8.7 Ec= -. Ec=. Ec=. p= parametrelerine etkii etkii ne

6 8 Ri=. Ec= p=. Ri=. Ec= p= Ri=. Ec= f'( ) p= Ri= ( ) K yerel ne etkii