Chebyshev Approximation for Nanofluid flow of Non-Isothermal Channel Flow under Constant Heat Flux

Coşkun Özalp; Betül Teymur; Bülent Yanıktepe; Muharrem İmal

doi:10.17780/ksujes.14532

EN TR

Chebyshev Approximation for Nanofluid flow of Non-Isothermal Channel Flow under Constant Heat Flux

Abstract

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.

Keywords

Sabit Isı Akısı Altında İzotermal Olmayan Kanal Akışında Nanoakışlar İçin Chebyshev Yaklaşımı

Öz

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

Anahtar Kelimeler

Kaynakça

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Ayrıntılar

Birincil Dil

İngilizce

Konular

Malzeme Üretim Teknolojileri

Bölüm

Araştırma Makalesi

Yazarlar

Coşkun Özalp

Betül Teymur

Bülent Yanıktepe

Muharrem İmal

Yayımlanma Tarihi

10 Mayıs 2016

Gönderilme Tarihi

1 Mart 2016

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2016 Cilt: 19 Sayı: 1

DOI

https://doi.org/10.17780/ksujes.14532

IZ

https://izlik.org/JA78XJ36HB

Kaynak Göster

RIS / Bibtex

APA

Özalp, C., Teymur, B., Yanıktepe, 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. https://doi.org/10.17780/ksujes.14532