Mathematical model of mixed convection boundary layer flow over a horizontal circular cylinder filled in a Jeffrey fluid with viscous dissipation effect = Model matematik bagi aliran lapisan sempadan olakan campuran melalui silinder bulat mengufuk diisi dalam bendalir jeffrey dengan kesan pelesapan likat
This paper delves into the problem of mixed convection boundary layer flow from a horizontal circular cylinder filled in a Jeffrey fluid with viscous dissipation effect. Both cases of cooled and heated cylinders are discussed. The governing equations which have been converted into a dimensionless fo...
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Main Authors: | , , , , , |
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Format: | Article |
Language: | English English English |
Published: |
Penerbit UKM
2018
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Subjects: | |
Online Access: | http://irep.iium.edu.my/69310/7/69310%20Mathematical%20model%20of%20mixed%20convection%20boundary.pdf http://irep.iium.edu.my/69310/8/69310%20Mathematical%20model%20of%20mixed%20convection%20boundary%20SCOPUS.pdf http://irep.iium.edu.my/69310/19/69310_Mathematical%20model%20of%20mixed%20convection%20boundary%20layer%20flow%20over%20a%20horizontal%20circular%20cylinder%20filled%20in%20a%20Jeffrey%20fluid%20with%20viscous%20dissipation%20effect_WOS.pdf http://irep.iium.edu.my/69310/ http://www.ukm.my/jsm/pdf_files/SM-PDF-47-7-2018/32%20Syazwani%20Mohd%20Zokri.pdf |
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Summary: | This paper delves into the problem of mixed convection boundary layer flow from a horizontal circular cylinder filled in a Jeffrey fluid with viscous dissipation effect. Both cases of cooled and heated cylinders are discussed. The governing equations which have been converted into a dimensionless form using the appropriate non-dimensional variables are solved numerically through the Keller-box method. A comparative study is performed and authentication of the present results with documented outcomes from formerly published works is excellently achieved. Tabular and graphical representations of the numerical results are executed for the specified distributions, considering the mixed convection parameter, Jeffrey fluid parameters and the Prandtl and Eckert numbers. Interestingly, boundary layer separation for mixed convection parameter happens for some positive (assisting flow) and negative (opposing flow) values. Strong assisting flow means the cylinder is heated, which causes the delay in boundary layer separation, whereas strong opposing flow means the cylinder is cooled, which conveys the separation point close to the lower stagnation point. Contradictory behaviours of both Jeffrey fluid parameters are observed over the velocity and temperature profiles together with the skin friction
coefficient and Nusselt number. The increase of the Prandtl number leads to the decrement of the temperature profile, while the increase of the Eckert number results in the slight increment of the skin friction coefficient and decrement of the Nusselt number. Both velocity and temperature profiles of Eckert number show no effects at the lower stagnation point of the cylinder.
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Kertas ini membincangkan masalah aliran lapisan sempadan olakan campuran ke atas silinder bulat mengufuk dalam
bendalir Jeffrey dengan kesan pelesapan likat. Kedua-dua kes silinder yang disejuk dan dipanaskan dibincangkan.
Persamaan menakluk yang telah ditukarkan kepada bentuk tak bermatra menggunakan pemboleh ubah penjelmaan tak
bermatra yang sesuai diselesaikan secara berangka melalui kaedah kotak Keller. Kajian perbandingan dijalankan dan
pengesahan keputusan sekarang dengan hasil yang telah didokumenkan daripada kerja yang diterbitkan sebelum ini
dicapai dengan baik. Perwakilan jadual dan grafik bagi keputusan berangka dijalankan untuk taburan yang ditentukan,
mengambil kira parameter olakan campuran, parameter bendalir Jeffrey dan nombor Prandtl dan Eckert. Menariknya,
pemisahan lapisan sempadan untuk parameter olakan campuran berlaku untuk beberapa nilai positif (aliran membantu)
dan negatif (aliran menentang). Aliran membantu yang kuat bermaksud silinder dipanaskan yang menyebabkan
kelewatan dalam pemisahan lapisan sempadan, manakala aliran menentang yang kuat bermaksud silinder disejukkan
yang membawa titik perpisahan dekat kepada titik genangan bawah. Tingkah laku yang bercanggah pada kedua-dua
parameter bendalir Jeffrey diperhatikan melalui profil halaju dan suhu bersama-sama dengan pekali geseran kulit dan
nombor Nusselt. Peningkatan nombor Prandtl menyebabkan pengurangan profil suhu, manakala peningkatan nombor
Eckert menyebabkan sedikit kenaikan pada pekali geseran kulit dan penurunan nombor Nusselt. Kedua-dua profil halaju
dan suhu nombor Eckert tidak memberi kesan pada titik genangan bawah silinder. |
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