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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Imprimir: 2152-5102
ISSN On-line: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v43.i4.40
pages 333-349

Analytical Solution of Convective Heat Transfer of Oscillating Flow Subject to a Triangular Pressure Waveform

Mohammed Abdulhameed
Center for Research in Computational Mathematics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn, 86400 Batu Pahat, Johor DT, Malaysia
Rozaini Roslan
Faculty of Applied Sciences and Technology, Universiti Tun Hussein Onn Malaysia, 84600 Pagoh Campus, Muar, Johor, Malaysia
B. S. Bhadauria
Department of Mathematics, Faculty of Science, Banaras Hindu University Varanasi-221005, India
Ishak Hashim
School of Mathematical Sciences & Solar Energy Research Institute, Faculty of Science & Technology, Universiti Kebangsaan Malaysia 43600 UKM Bangi, Selangor DE, Malaysia

RESUMO

The analytical solutions of velocity and temperature distributions of a laminar viscoelastic fully developed pipe flow subject to a triangular pressure waveform are presented. The solution for the velocity field is given in terms of a series of Bessel functions during the solution for temperature distribution in term of a series of Kummer function. The velocity and temperature distributions for a triangular pressure waveform are significant from the sinusoidal pressure waveform. The fluid temperature depends upon the Prandtl number in the case of large values of time where it does not depend on this parameter in the case of small values of time. The trend of larger temperature rises with triangular pressure waveform in comparison with the corresponding temperature rise due to a sinusoidal waveform.


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