Third-grade Fluid Flow of Stretching Cylinder with Heat Source/Sink

Document Type : Research Paper

Authors

1 Department of Mathematics, COMSATS University Islamabad, Attock Campus, Kamra Road, Attock, 43600, Pakistan

2 Department of Mathematics, COMSATS University Islamabad, Park Road, Chak Shehzad, Islamabad, 44000, Pakistan

Abstract

In this research, the impact of heat transfer on mixed convection steady third-grade fluid flow over an impermeable stretching cylinder with heat source is scrutinized. The investigation of mixed convection with non-Newtonian fluid is significant in geophysical and engineering fields. Appropriate transformations are alleged to obtain ordinary differential equations, which are later computed by using an analytical approach called the homotopy analysis methodology (HAM), and the interval of convergence is computed. Local Nusselt number and coefficient of skin friction values are computed numerically for novel parameters.

Keywords

Main Subjects

[1] Dunn, J.E., Rajagopal, K.R., Fluids of differential type: critical review and thermodynamic analysis, International Journal of Engineering Science, 33, 1995, 689-729.
[2] Fosdick, R.L., Rajagopal, K.R., Thermodynamics and stability of fluids of third grade, Proceeding of Royal Society A, 369, 1980, 351-377.
[3] Hayat, T., Shafiq, A., Alsaedi, A., MHD axisymmetric flow of third grade fluid by a stretching cylinder, Alexandria Engineering Journal, 54, 2015, 205-212.
[4] Rashidi, M.M., Bagheri, S., Momoniat, E., Freidoonimehr, N., Entropy analysis of convective MHD flow of third grade non-Newtonian fluid over a stretching sheet, Ain Shams Engineering Journal, 8, 2017, 77-85.
[5] Adesanya, S.O., Falade, J.A., Jangili, S., Beg, O.A., Irreversibility analysis for reactive third grade fluid flow and heat transfer with convective wall cooling, Alexandria Engineering Journal, 56, 2017, 153-160.
[6] Hayat, T., Nazar, H., Imtiaz, M., Alsaedi, A., Ayub, M., Axisymmetric squeezing flow of third grade fluid in presence of convective conditions, Chinese Journal of Physics, 55, 2017, 738-754.
[7] Reddy, G.J., Hiremath, A., Kumar, M., Computational modeling of unsteady third grade fluid flow over a vertical cylinder: A study of heat transfer visualization, Results in Physics, 8, 2018, 671-682.
[8] Ali, A., Saba, S., Asghar, S., Khan Marwat, D.N., Transport phenomenon in a third grade fluid over an oscillating surface, Journal of Applied Mechanics and Technical Physics, 58, 2017, 990-996.
[9] Ali, A., Asghar, S., Vincenzi, D., Mixed convection of a conducting third grade fluid past an oscillating porous plate, Journal of Engineering Thermophysics, 26, 2017, 60-68.
[10] Hayat, T., Khan, M.I., Waqas, M., Alsaedi, A., Magnetohydrodynamic stagnation point flow of third grade liquid toward variable sheet thickness, Neural Computing, and Applications, 30, 2018, 2417-2423.
[11] Shah, Z., Gul, T., Islam, S., Khan, M.A., Bonyah, E., Hussain, F., Mukhtar, S., Ullah, M., Three dimensional third grade nanofluid flow in a rotating system between parallel plates with Brownian motion and thermophoresis effects, Results in Physics, 10, 2018, 36-45.
[12] Khan. Z., Shah, R.A., Altaf, M., Islam, S., Khan, A., Effect of thermal radiation and MHD on non-Newtonian third grade fluid in wire coating analysis with temperature dependent viscosity, Alexandria Engineering Journal, 57, 2018, 2101-2112.
[13] Hayat, T., Ahmad, S., Khan, M.I., Alsaedi, A., Modeling and analyzing flow of third grade nanofluid due to rotating stretchable disk with chemical reaction and heat source, Physics B, 537, 2018, 116-126.
[14] Khan, M.I., Khan, S.A., Hayat, T., Alsaedi, A., Entropy optimization in magnetohydrodynamic flow of third grade nanofluid with viscous dissipation and chemical reaction, Iranian Journal of Science and Technology, Transactions A: Science, 43, 2019, 2679-2689.
[15] Mukhopadhyay, S., Ishak, A., Mixed convection flow along a stretching cylinder in a thermally stratified medium, Journal of Applied Mathematics, 2012, 2012, Article ID 491695.
[16] Hayat, T., Anwar, M.S., Farooq, M., Alsaedi, A., Mixed convection flow of viscoelastic fluid by a stretching cylinder with heat transfer, Plos One, 10, 2015, e0118815.
[17] Hayat, T., Hussain, Z., Alsaedi, A., Farooq, M., Magnetohydrodynamic flow by a stretching cylinder with Newtonian heating and homogeneous-heterogeneous reactions, Plos One, 11, 2016, e0156955.
[18] Hayat, T., Ullah, I., Ahmed, B., Alsaedi, A., MHD mixed convection flow of third grade liquid subject to nonlinear thermal radiation and convective condition, Results in Physics, 7, 2017, 2804-2811.
[19] Rehman, K.U., Malik, A.A., Malik, M.Y., Sandeep, N., Saba, N.U., Numerical study of double stratification in Casson fluid flow in the presence of mixed convection and chemical reaction, Results in Physics, 7, 2017, 2997-3006.
[20] Patil, P.M., Latha, D.N., Roy, S., Momoniat, E., Non-similar solutions of mixed convection flow from an exponentially stretching surface, Ain Shams Engineering Journal, 8, 2017, 697-705.
[21] Hayat, T., Kiyani, M.Z., Alsaedi, A., Khan, M.I., Ahmad, I., Mixed convection three-dimensional flow of Williamson nanofluid subject to chemical reaction, International Journal of Heat and Mass Transfer, 127, 2018, 422-429.
[22] Golafshan, B., Rahimi, A.B., Effects of radiation on mixed convection stagnation-point flow of MHD third grade nanofluid over a vertical stretching sheet, Journal of Thermal Analysis and Calorimetry, 135, 2019, 533-549.
[23] Hayat, T., Asad, S., Alsaedi, A., Non-uniform heat source/sink and thermal radiation effects on the stretched flow of cylinder in a thermally stratified medium, Journal of Applied Fluid Mechanics, 10, 2016, 915-924.
[24] Srinivas. S., Vijayalakshmi, A., Reddy, A.S., Ramamohan, T.R., MHD flow of a nanofluid in an expanding or contracting porous pipe with chemical reaction and heat source/sink, Propulsion and Power Research, 5, 2016, 134-148.
[25] Irfan, M., Khan, M., Khan, W.A., Numerical analysis of unsteady 3D flow of Carreau nanofluid with variable thermal conductivity and heat source/sink, Results in Physics, 7, 2017, 3315-3324.
[26] Khan, S.U., Shehzad, S.A., Rauf, A., Ali, N., Mixed convection flow of couple stress nanofluid over oscillatory stretching sheet with heat absorption/generation effects, Results in Physics, 8, 2018, 1223-1231.
[27] Gireesha, B.J., Kumar, K.G., Ramesh, G.K., Prasannakumara, B.C., Nonlinear convective heat and mass transfer of Oldroyd-B nanofluid over a stretching sheet in the presence of uniform heat source/sink, Results in Physics, 9, 2018, 1555-1563.
[28] Shamshuddin, M.D., Thirupathi, T., Satya Narayana, P.V., Micropolar fluid flow induced due to a stretching sheet with heat source/sink and surface heat flux boundary condition effects, Journal of Applied and Computational Mechanics, 5, 2019, 816-826.
[29] Ali, A., Sajjad, A., Asghar, S., Thermal-diffusion, and diffusion-thermo effects in a nanofluid flow with non-uniform heat flux and convective walls, Journal of Nanofluids, 8, 2019, 1367-1372.
[30] Ali, A., Iqbal, F., Khan Marwat, D.N., Asghar, S., Awais, M., Soret, and Dufour effects between two rectangular plane walls with heat source/sink, Heat Transfer – Asian Research, 49, 2020, 614-625.