Similarity Solutions for the Flow and Heat Transfer over a Nonlinear Stretching/Shrinking Sheet in a Nanofluid
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作者:
Mat, Nor Azian Aini
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Univ Pendidikan Sultan Idris, Fac Sci & Math, Tg Malim 35900, Perak, Malaysia
Univ Putra Malaysia, Inst Math Res, Serdang 43400, Malaysia
Univ Putra Malaysia, Dept Math, Serdang 43400, MalaysiaUniv Pendidikan Sultan Idris, Fac Sci & Math, Tg Malim 35900, Perak, Malaysia
Mat, Nor Azian Aini
[1
,2
,3
]
Arifin, Norihan Md
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Univ Putra Malaysia, Inst Math Res, Serdang 43400, Malaysia
Univ Putra Malaysia, Dept Math, Serdang 43400, MalaysiaUniv Pendidikan Sultan Idris, Fac Sci & Math, Tg Malim 35900, Perak, Malaysia
Arifin, Norihan Md
[2
,3
]
Nazar, Roslinda Mohd
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Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Bangi 43600, MalaysiaUniv Pendidikan Sultan Idris, Fac Sci & Math, Tg Malim 35900, Perak, Malaysia
Nazar, Roslinda Mohd
[4
]
Ismail, Fudziah
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Univ Putra Malaysia, Fac Sci, Serdang 43400, MalaysiaUniv Pendidikan Sultan Idris, Fac Sci & Math, Tg Malim 35900, Perak, Malaysia
Ismail, Fudziah
[5
]
机构:
[1] Univ Pendidikan Sultan Idris, Fac Sci & Math, Tg Malim 35900, Perak, Malaysia
[2] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Malaysia
[3] Univ Putra Malaysia, Dept Math, Serdang 43400, Malaysia
[4] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Bangi 43600, Malaysia
[5] Univ Putra Malaysia, Fac Sci, Serdang 43400, Malaysia
来源:
5TH INTERNATIONAL CONFERENCE ON RESEARCH AND EDUCATION IN MATHEMATICS (ICREM5)
|
2012年
/
1450卷
In this paper, a similarity solutions for the flow and heat transfer over a nonlinear stretching/shrinking sheet in a nanofluid is considered. The governing equations are first transformed into a system of non-dimensional via the non-dimensional variables, and then into non-similar ordinary differential equations before they are solved numerically using the shooting method. Numerical results are obtained for the skin friction coefficient and the local Nusselt number as well as the velocity and temperature profiles for some values of the governing parameters, namely the nanoparticle volume fraction phi (0 <= phi <= 0.2), the value of velocity ratio parameter e and the constant exponent m. Three different types of nanoparticles, namely Cu, Al2O3 and TiO2 are considered by using water-based fluid with Prandtl number Pr = 6.2. It was found that the skin friction and Nusselt number have greater values for Cu than for Al2O3 and TiO2. The skin friction coefficient and local Nusselt number increase as the nanoparticle volume fraction phi and constant exponent m increase. The result also indicate that dual solution exist for a shrinking sheet (epsilon(c) <= epsilon <= -1) for m > 1/3.
机构:
Univ Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor, MalaysiaUniv Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor, Malaysia
Arifin, N. M.
Nazar, R.
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Univ Kebangsaan Malaysia, Sch Math Sci, Fac Sci & Technol, Ukm Bangi 43600, Selangor, MalaysiaUniv Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor, Malaysia
Nazar, R.
Pop, I.
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机构:
Univ Cluj, Fac Math, Cluj Napoca 3400, RomaniaUniv Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor, Malaysia
机构:
Univ Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor, MalaysiaUniv Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor, Malaysia
Arifin, N. M.
Nazar, R.
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h-index: 0
机构:
Univ Kebangsaan Malaysia, Sch Math Sci, Fac Sci & Technol, Ukm Bangi 43600, Selangor, MalaysiaUniv Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor, Malaysia
Nazar, R.
Pop, I.
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机构:
Univ Cluj, Fac Math, Cluj Napoca 3400, RomaniaUniv Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor, Malaysia