Background and Objectives: The present investigation is associated with the contemporary study of viscous flow in a vertical tube with ciliary motion. Methods/Results/Conclusions: The main flow problem has been modeled using cylindrical coordinates; flow equations are simplified to ordinary differential equations using longwave length and low Reynold's number approximation; and exact solutions have been obtained for velocity, pressure gradient and temperature. Results acquired are discussed graphically for better understanding. Streamlines for the velocity profile are plotted to discuss the trapping phenomenon. It is seen that with an increment in the Grashof number, the velocity of the governing fluids starts to decrease significantly. (C) 2016 Elsevier Ireland Ltd. All rights reserved.
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AGARWAL AK, 1984, INDIAN J PURE AP MAT, V15, P1124
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Univ Calif Riverside, Dept Mech Engn, Bourns Hall A 373, Riverside, CA 92521 USA
IIU, FBAS, Dept Math & Stat, Islamabad 44000, PakistanUniv Calif Riverside, Dept Mech Engn, Bourns Hall A 373, Riverside, CA 92521 USA
Ellahi, R.
Rahman, S. U.
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IIU, FBAS, Dept Math & Stat, Islamabad 44000, PakistanUniv Calif Riverside, Dept Mech Engn, Bourns Hall A 373, Riverside, CA 92521 USA
Rahman, S. U.
Nadeem, S.
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Quaid I Azam Univ, Dept Math, Islamabad 45320, PakistanUniv Calif Riverside, Dept Mech Engn, Bourns Hall A 373, Riverside, CA 92521 USA
Nadeem, S.
Akbar, N. S.
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Natl Univ Sci & Technol, CEME, DBS & H, Islamabad, PakistanUniv Calif Riverside, Dept Mech Engn, Bourns Hall A 373, Riverside, CA 92521 USA
机构:
Univ Calif Riverside, Dept Mech Engn, Bourns Hall A 373, Riverside, CA 92521 USA
IIU, FBAS, Dept Math & Stat, Islamabad 44000, PakistanUniv Calif Riverside, Dept Mech Engn, Bourns Hall A 373, Riverside, CA 92521 USA
Ellahi, R.
Rahman, S. U.
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IIU, FBAS, Dept Math & Stat, Islamabad 44000, PakistanUniv Calif Riverside, Dept Mech Engn, Bourns Hall A 373, Riverside, CA 92521 USA
Rahman, S. U.
Nadeem, S.
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机构:
Quaid I Azam Univ, Dept Math, Islamabad 45320, PakistanUniv Calif Riverside, Dept Mech Engn, Bourns Hall A 373, Riverside, CA 92521 USA
Nadeem, S.
Akbar, N. S.
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Natl Univ Sci & Technol, CEME, DBS & H, Islamabad, PakistanUniv Calif Riverside, Dept Mech Engn, Bourns Hall A 373, Riverside, CA 92521 USA