Yıl 2016, Cilt 19, Sayı 1, Sayfalar 11 - 20 2016-05-10

Chebyshev Approximation for Nanofluid flow of Non-Isothermal Channel Flow under Constant Heat Flux
Sabit Isı Akısı Altında İzotermal Olmayan Kanal Akışında Nanoakışlar İçin Chebyshev Yaklaşımı

Coşkun ÖZALP [1] , Betül TEYMUR [2] , Bülent YANIKTEPE [3] , Muharrem İMAL [4]

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This paper investigates the Nano-fluid for a non-isothermal channel flow under the effect of a constant pressure gradient acting along the channel axis. Two-dimensional, non-isothermal, steady flow of an incompressible fluid in a channel is taken into consideration. Upper and lower walls of the channel are kept at the same constant heat flux. To consider the effect of conductivity and viscosity, Maxwell and Brinkman’s models are used respectively. The effects of volume fraction, pressure gradient and Reynolds numbers on velocity and temperature profiles are discussed for the Nano-fluid Alumina. Water is used as a base fluid. The comparisons of the flow characteristics, including the distributions of velocity, temperature and volumetric flow rate of aluminum oxide are also given in the paper. Shear stress distribution along the channel axis and pressure gradient for different volume fraction are presented as well.  Discretization is performed using a Pseudospectral technique based on Chebyshev polynomial expansions. The resulting nonlinear, coupled boundary value problem is solved iteratively using Chebyshev pseudospectral method.

Bu çalışmada sabit basınç gradyanının etkisi altındaki nanoakışkanın izotermal olmayan kanaldaki akışı sayısal olarak incelenmiştir. Kanal akışının çözümünde akışın iki boyutlu, izotermal olmayan, sıkıştırılamaz, hidrodinamik ve ısıl olarak tam gelişmiş ve sürekli olduğu kabul edilmiştir. Kanal alt ve üst cidarlarına sabit ısı akısı sınır şartı uygulanmış olup alümina-su nanoakışkanın tek fazlı ve homojen olduğu varsayılmıştır. Momentum ve enerji denklemlerinde yer alan ısıl iletkenlik ve viskozite değerleri için hacimsel konsantrasyona bağlı olarak sırasıyla Maxwell ve Brinkman modelleri kullanılmıştır. Kanal içindeki alümina-su nanoakışkanın hacimsel konsantrasyon, basınç gradyanı ve Reynolds sayısının sıcaklık ve hız profiline etkisi incelenmiştir. Su temel akışkan olarak ele alınmıştır. Ayrıca kanal merkezi boyunca kayma gerilmesi dağılımı ve farklı hacimsel debilerdeki basınç gradyanı değişimi de incelenmiştir. Denklemlerin ayrıklaştırılması Chebyshev polinom açılımlarına dayanan Pseudospectral yöntemi kullanılarak yapılmış ve doğrusal olmayan sınır değer problemleri Chebyshev Pseudospectral yöntemi ile sayısal olarak çözülmüştür
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Birincil Dil en
Konular
Dergi Bölümü Araştırma Makalesi
Yazarlar

Yazar: Coşkun ÖZALP
E-posta: coskunozalp@osmaniye.edu.tr

Yazar: Betül TEYMUR
E-posta: teymurbetul@gmail.com

Yazar: Bülent YANIKTEPE
E-posta: byaniktepe@osmaniye.edu.tr

Yazar: Muharrem İMAL
E-posta: muharremimal@ksu.edu.tr

Bibtex @ { ksujes205404, journal = {Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi}, issn = {}, address = {Kahramanmaraş Sütçü İmam Üniversitesi}, year = {2016}, volume = {19}, pages = {11 - 20}, doi = {10.17780/ksujes.14532}, title = {Chebyshev Approximation for Nanofluid flow of Non-Isothermal Channel Flow under Constant Heat Flux}, key = {cite}, author = {İMAL, Muharrem and ÖZALP, Coşkun and YANIKTEPE, Bülent and TEYMUR, Betül} }
APA ÖZALP, C , TEYMUR, B , YANIKTEPE, B , İMAL, M . (2016). Chebyshev Approximation for Nanofluid flow of Non-Isothermal Channel Flow under Constant Heat Flux. Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi, 19 (1), 11-20. Retrieved from http://jes.ksu.edu.tr/issue/19368/205404
MLA ÖZALP, C , TEYMUR, B , YANIKTEPE, B , İMAL, M . "Chebyshev Approximation for Nanofluid flow of Non-Isothermal Channel Flow under Constant Heat Flux". Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi 19 (2016): 11-20 <http://jes.ksu.edu.tr/issue/19368/205404>
Chicago ÖZALP, C , TEYMUR, B , YANIKTEPE, B , İMAL, M . "Chebyshev Approximation for Nanofluid flow of Non-Isothermal Channel Flow under Constant Heat Flux". Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi 19 (2016): 11-20
RIS TY - JOUR T1 - Chebyshev Approximation for Nanofluid flow of Non-Isothermal Channel Flow under Constant Heat Flux AU - Coşkun ÖZALP , Betül TEYMUR , Bülent YANIKTEPE , Muharrem İMAL Y1 - 2016 PY - 2016 N1 - DO - T2 - Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi JF - Journal JO - JOR SP - 11 EP - 20 VL - 19 IS - 1 SN - -1309-1751 M3 - UR - Y2 - 2018 ER -
EndNote %0 Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi Chebyshev Approximation for Nanofluid flow of Non-Isothermal Channel Flow under Constant Heat Flux %A Coşkun ÖZALP , Betül TEYMUR , Bülent YANIKTEPE , Muharrem İMAL %T Chebyshev Approximation for Nanofluid flow of Non-Isothermal Channel Flow under Constant Heat Flux %D 2016 %J Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi %P -1309-1751 %V 19 %N 1 %R %U