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DAİRESEL BİR BORUDA ÜST KANUNU AKIŞKANININ AKIŞINDA ZORLANMIŞ TAŞINIMLA ISI TRANSFERİ

FORCED CONVECTION HEAT TRANSFER IN A POWER-LAW FLUID FLOW IN A CIRCULAR DUCT

Kamışlı

Fethi

FIRAT UNIVERSITY

04 30 2019

39 1 17 30 05 14 2018 01 16 2019

1977

Journal of Thermal Science and Technology

Sabit duvar ısı akısına sahip bir boruda üst kanunu akışkan akışı için boyutsuz sıcaklık, entropi üretim hızı veNusselt sayısı, üst kanunu indeksi, Brinkman sayısı, boyutsuz sıcaklık farkı ve grup parametrelerinin fonksiyonu olarakbelirlenmiştir. Üst kanunu akışkan akışında enerji, entropi ve Nusselt sayısı için sürtünme kaynaklı enerji üretimterimini içeren bir boyutlu yaklaşık eşitlikler; terimlerin büyüklük dereceleri ve asimptotik teknikler göz önündebulundurularak çıkarılmıştır. Hız, sıcaklık ve entropi üretimi için bir boyutlu yaklaşık eşitlikler Newton kanununauymayan akışkan akışını için hız, sıcaklık ve entropi dağılımlarını belirlemek için analitik olarak etkin parametrelerinfonksiyonu olarak çözümlenmiştir. Akış indeksi ve Brinkman sayına bağlı Nusselt sayısı için sürtünme kaynaklı enerjiüretim terimli türetilmiş eşitlik, bütün pseudo plastik ve dilatant akışkan davranışlarını kapsamaktadır. Brinkmansayısının sıcaklık, entropi üretim sayısı ve Nusselt sayısı üzerinde oldukça etkin olduğu bulunmuştur. Üs kanununuindeksinin tüm değerlerinde Nusselt sayısı, Brinkman sayısının artmasıyla üstel olarak azalmıştır.

The dimensionless temperature, the entropy generation rate and Nusselt number for a power-law fluid flowin a pipe with constant wall heat flux have been determined as functions of the Brinkman number, power-law index,dimensionless temperature difference and group parameters. The one-dimensional approximate equations with viscousdissipation for the energy, the entropy and the Nusselt number for a power-law fluid flow have been determined byaccounting for the order of magnitude of terms and asymptotic techniques. The one-dimensional approximate equationsof the velocity, the temperature and the entropy generation rate have been analytically solved to determine the velocity,the temperature and the entropy distributions in a non-Newtonian fluid flow as functions of the effective processparameters. The derived equation with viscous dissipation term for Nusselt number depending on power-law index andBrinkman number covers all types of pseudo-plastic and dilatant fluid behaviors. It has found that the Brinkman numberis quite effective on the temperature, the Nusselt number and the entropy generation number. The Nusselt number hasexponentially decreased with increasing Brinkman number at values of power-law index.

Brinkman number entropy generation viscous dissipation power-law fluid flow

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