Доступ предоставлен для: Guest
Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
Nanoscience and Technology: An International Journal
ESCI SJR: 0.228 SNIP: 0.484 CiteScore™: 0.37

ISSN Печать: 2572-4258
ISSN Онлайн: 2572-4266

Nanoscience and Technology: An International Journal

Ранее издавался как Nanomechanics Science and Technology: An International Journal

DOI: 10.1615/NanoSciTechnolIntJ.2019030004
pages 169-193

NUMERICAL INVESTIGATION OF HEAT TRANSFER OF MHD NANOFLUID OVER A VERTICAL CONE DUE TO VISCOUS-OHMIC DISSIPATION AND SLIP BOUNDARY CONDITIONS

Ashish Mishra
Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India-263145
Alok Kumar Pandey
Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Uttarakhand-263145, India; Department of Mathematics, Graphic Era Deemed to be University, Dehradun, Uttarakhand, India
Manoj Kumar
Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India 263145

Краткое описание

An analysis is made of heat transfer characteristics of Ag–water nanofluid flow towards a permeable vertical cone due to the ambiguity of thermal conductivity in the presence of magnetic force, viscous-ohmic dissipation, heat generation/absorption, and suction/blowing effects. Adequate transformations yield a nonlinear system of ODEs, and the fourth-fifth-order RKF technique with a shooting scheme is used to attain the solution of involved ODEs in cooperation with auxiliary boundary conditions. Two models of thermal conductivity of shape-dependent nanoparticles with dynamic viscosity are considered. The influence of the solid volume fraction on dimensionless skin friction and Nusselt number along with velocity slip, thermal slip, magnetic parameter, Eckert number, heat generation/absorption, and suction/blowing parameters are depicted by graphs and tables. The upshots show that an increment in the volume fraction of solid particles decreases the Nusselt number for each value of velocity slip, thermal slip, and magnetic parameter. Moreover, it is accelerated when injection shifts to the suction region for each value of solid volumetric fraction of silver nanoparticles in both models of thermal conductivity. The acquired data are compared with prior investigation, and excellent agreement is obtained.

ЛИТЕРАТУРА

  1. Ahmed, S.E., Hussein, A.K., Mohammed, H.A., and Sivasankaran, S., Boundary Layer Flow and Heat Transfer Due to Permeable Stretching Tube in the Presence of Heat Source/Sink Utilizing Nanofluids, Appl. Math. Comput., vol. 238, pp. 149-162, 2014.

  2. Behseresht, A., Noghrehabadi, A., and Ghalambaz, M., Natural-Convection Heat and Mass Transfer from a Vertical Cone in Porous Media Filled with Nanofluids Using the Practical Ranges of Nanofluids Thermophysical Properties, Chem. Eng. Res. Des., vol. 92, no. 3, pp. 447-452, 2014.

  3. Buddakkagari, V. and Kumar, M., Transient Boundary Layer Laminar Free Convective Flow of a Nanofluid over a Vertical Cone/Plate, Int. J. Appl. Comput. Math., vol. 1, no. 3, pp. 427-448, 2015.

  4. Butt, A.S., Ali, A., and Mehmood, A., Numerical Investigation of Magnetic Field Effects on Entropy Generation in Viscous Flow over a Stretching Cylinder Embedded in a Porous Medium, Energy, vol. 99, pp. 237-249, 2016.

  5. Chamkha, A.J., Abbasbandy, S., Rashad, A.M., and Vajravelu, K., Radiation Effects on Mixed Convection about a Cone Embedded in a Porous Medium Filled with a Nanofluid, Meccanica, vol. 48, no. 2, pp. 275-285, 2013.

  6. Cheng, C.Y., Free Convection of NonNewtonian Nanofluids about a Vertical Truncated Cone in a Porous Medium, Int. Commun. Heat Mass Transf., vol. 39, no. 9, pp. 1348-1353, 2012b.

  7. Cheng, C.Y., Natural Convection Boundary Layer Flow over a Truncated Cone in a Porous Medium Saturated by a Nanofluid, Int. Commun. Heat Mass Transf., vol. 39, no. 2, pp. 231-235, 2012a.

  8. Choi, S.U. and Eastman, J.A., Enhancing Thermal Conductivity of Fluids with Nanoparticles, ASME-Publications-Fed, vol. 231, pp. 99-106, 1995.

  9. Das, S., Jana, R.N., and Makinde, O.D., Magnetohydrodynamic Mixed Convective Slip Flow over an Inclined Porous Plate with Viscous Dissipation and Joule Heating, Alexandria Eng. J., vol. 54, no. 2, pp. 251-261, 2015.

  10. Dhanai, R., Rana, P., and Kumar, L., Multiple Solutions of MHD Boundary Layer Flow and Heat Transfer Behavior of Nanofluids Induced by a Power-Law Stretching/Shrinking Permeable Sheet with Viscous Dissipation, Powder Technol., vol. 273, pp. 62-70, 2015.

  11. Dogonchi, A.S. and Ganji, D.D., Investigation of MHD Nanofluid Flow and Heat Transfer in a Stretching/Shrinking Convergent/Divergent Channel Considering Thermal Radiation, J. Mol. Liq., vol. 220, pp. 592-603, 2016.

  12. Esfe, M.H., Arani, A.A.A., Yan, W.M., Ehteram, H., Aghaie, A., and Afrand, M., Natural Convection in a Trapezoidal Enclosure Filled with Carbon Nanotube-EG-Water Nanofluid, Int. J. Heat Mass Transf, vol. 92, pp. 76-82, 2016.

  13. Ghalambaz, M., Behseresht, A., Behseresht, J., and Chamkha, A., Effects of Nanoparticles Diameter and Concentration on Natural Convection of the Al2O3-Water Nanofluids Considering Variable Thermal Conductivity around a Vertical Cone in Porous Media, Adv. Powder, Technol., vol. 26, no. 1, pp. 224-235, 2015.

  14. Grubka, L.J. and Bobba, K.M., Heat Transfer Characteristics of a Continuous, Stretching Surface with Variable Temperature, J. Heat Transf., vol. 107, no. 1, pp. 248-250, 1985.

  15. Hady, F.M., Ibrahim, F.S., Abdel-Gaied, S.M., and Eid, M.R., Effect of Heat Generation/Absorption on Natural Convective Boundary-Layer Flow from a Vertical Cone Embedded in a Porous Medium Filled with a Non-Newtonian Nanofluid, Int. Commun. Heat Mass Transf., vol. 38, no. 10, pp. 1414-1420, 2011.

  16. Hayat, T., Imtiaz, M., and Alsaedi, A., Melting Heat Transfer in the MHD Flow of Cu-Water Nanofluid with Viscous Dissipation and Joule Heating, Adv. Powder Technol., vol. 27, no. 4, pp. 1301-1308, 2016a.

  17. Hayat, T., Khan, M. I., Waqas, M., Yasmeen, T., and Alsaedi, A., Viscous Dissipation Effect in Flow of Magnetonanofluid with Variable Properties, J. Mol. Liq., vol. 222, pp. 47-54, 2016b.

  18. Hayat, T., Shafiq, A., and Alsaedi, A., MHD Axisymmetric Flow of Third Grade Fluid by a Stretching Cylinder, Alexandria Eng. J., vol. 54, no. 2, pp. 205-212, 2015.

  19. Hsiao, K.L., Combined Electrical MHD Heat Transfer Thermal Extrusion System Using Maxwell Fluid with Radiative and Viscous Dissipation Effects, Appl. Therm. Eng., vol. 112, pp. 1281-1288, 2017.

  20. Hsiao, K.L., MHD Mixed Convection for Viscoelastic Fluid past a Porous Wedge, Int. J. Non-Lin. Mech, vol. 46, no. 1, pp. 1-8, 2011.

  21. Hsiao, K.L., Stagnation Electrical MHD Nanofluid Mixed Convection with Slip Boundary on a Stretching Sheet, Appl. Therm. Eng., vol. 98, pp. 850-861, 2016.

  22. Janke, V.R.R., Naramgari, S., and Vangala, S., MHD Flow of a Nanofluid Embedded with Dust Particles Due to Cone with Volume Fraction of Dust and Nano Particles, Proc. Eng., vol. 127, pp. 1026-1033, 2015.

  23. Kairi, R.R. and Murthy, P.V.S.N., Effect of Viscous Dissipation on Natural Convection Heat and Mass Transfer from Vertical Cone in a Non-Newtonian Fluid Saturated Non-Darcy Porous Medium, Appl. Math. Comput, vol. 217, no. 20, pp. 8100-8114, 2011.

  24. Kuznetsov, A.V. and Nield, D.A., Natural Convective Boundary-Layer Flow of a Nanofluid past a Vertical Plate, Int. J. Therm. Sci, vol. 49, no. 2, pp. 243-247, 2010.

  25. Mahdy, A., Natural Convection Boundary Layer Flow Due to Gyrotactic Microorganisms about a Vertical Cone in Porous Media Saturated by a Nanofluid, J. Brazilian Soc. Mech. Sci. Eng., vol. 38, no. 1, pp. 67-76, 2016.

  26. Mallikaijuna, B., Rashad, A.M., Chamkha, A.J., and Raju, S.H., Chemical Reaction Effects on MHD Convective Heat and Mass Transfer Flow past a Rotating Vertical Cone Embedded in a Variable Porosity Regime, Afrika Matemat., vol. 27, nos. 3-4, pp. 645-665, 2016.

  27. Mehmood, A. and Iqbal, M.S., Heat Transfer Analysis in Natural Convection Flow of Nanofluid past a Wavy Cone, J. Mol. Liq, vol. 223, pp. 1178-1184, 2016.

  28. Mishra, A. and Kumar, M., Viscous Dissipation and Joule Heating Influences past a Stretching Sheet in a Porous Medium with Thermal Radiation Saturated by Silver-Water and Copper-Water Nanofluids, Spe. Top. Rev. Porous Med.: Int. J., vol. 10, no. 2, pp. 171-186, 2019a.

  29. Mishra, A., Pandey, A.K., and Kumar, M., Ohmic-Viscous Dissipation and Slip Effects on Nanofluid Flow over a Stretching Cylinder with Suction/Injection, Nanosci. Technol.: Int. J., vol. 9, no. 2, pp. 99-115, 2018.

  30. Mishra, A. and Kumar, M., Influence of Viscous Dissipation and Heat Generation/Absorption on Ag-Water Nanofluid Flow over a Riga Plate with Suction, Int. J. Fluid Mech. Res., vol. 46, no. 2, pp. 113-125, 2019b.

  31. Mustafa, M., Khan, J.A., Hayat, T., and Alsaedi, A., Buoyancy Effects on the MHD Nanofluid Flow past a Vertical Surface with Chemical Reaction and Activation Energy, Int. J. Heat Mass Transf., vol. 108, pp. 1340-1346, 2017.

  32. Pandey, A.K. and Kumar, M., Chemical Reaction and Thermal Radiation Effects on Boundary Layer Flow of Nanofluid over a Wedge with Viscous and Ohmic Dissipation, St. Petersburg Polytech. Univ. J.: Phys. Math., vol. 3, no. 4, pp. 322-332, 2017a.

  33. Pandey, A.K. and Kumar, M., Effect of Viscous Dissipation and Suction/Injection on MHD Nanofluid Flow over a Wedge with Porous Medium and Slip, Alexandria Eng. J., vol. 55, no. 4, pp. 3115-3123, 2016.

  34. Pandey, A.K. and Kumar, M., Natural Convection and Thermal Radiation Influence on Nanofluid Flow over a Stretching Cylinder in a Porous Medium with Viscous Dissipation, Alexandria Eng. J, vol. 56, no. 1, pp. 55-62, 2017b.

  35. Raju, C.S.K., Sandeep, N., and Malvandi, A., Free Convective Heat and Mass Transfer of MHD Non-Newtonian Nanofluids over a Cone in the Presence of NonUniform Heat Source/Sink, J. Mol. Liq, vol. 221, pp. 108-115, 2016.

  36. Rashad, A.M., El-Hakiem, M.A., and Abdou, M.M.M., Natural Convection Boundary Layer of a Non-Newtonian Fluid about a Permeable Vertical Cone Embedded in a Porous Medium Saturated with a Nanofluid, Comput. Math. Appl, vol. 62, no. 8, pp. 3140-3151, 2011.

  37. Reddy, M.G., Influence of Thermal Radiation, Viscous Dissipation and Hall Current on MHD Convection Flow over a Stretched Vertical Flat Plate, Ain Shams Eng. J., vol. 5, no. 1, pp. 169-175, 2014.

  38. Reddy, P.S. and Rao, K.S., MHD Natural Convection Heat and Mass Transfer of Al2O3-Water and Ag-Water Nanofluids over a Vertical Cone with Chemical Reaction, Proc. Eng., vol. 127, pp. 476-484, 2015.

  39. Rosali, H., Ishak, A., Nazar, R., and Pop, I., Mixed Convection Boundary Layer Flow past a Vertical Cone Embedded in a Porous Medium Subjected to a Convective Boundary Condition, Propul. Power Res, vol. 5, no. 2, pp. 118-122, 2016.

  40. Saleem, S. and Nadeem, S., Theoretical Analysis of Slip Flow on a Rotating Cone with Viscous Dissipation Effects, J. Hydrodyn., Ser. B, vol. 27, no. 4, pp. 616-623, 2015.

  41. Sandeep, N. and Reddy, M.G., Heat Transfer of Nonlinear Radiative Magnetohydrodynamic Cu- Water Nanofluid Flow over Two Different Geometries, J. Mol. Liq., vol. 225, pp. 87-94, 2017.

  42. Sheikholeslami, M. and Sadoughi, M., Mesoscopic Method for MHD Nanofluid Flow inside a Porous Cavity Considering Various Shapes of Nanoparticles, Int. J. Heat Mass Transf., vol. 113, pp. 106-114, 2017.

  43. Sheikholeslami, M., Abelman, S., and Ganji, D.D., Numerical Simulation of MHD Nanofluid Flow and Heat Transfer Considering Viscous Dissipation, Int. J. Heat Mass Transf., vol. 79, pp. 212-222, 2014.

  44. Sheikholeslami, M., Rashidi, M.M., Hayat, T., and Ganji, D.D., Free Convection of Magnetic Nanofluid Considering MHD Viscosity Effect, J. Mol. Liq., vol. 218, pp. 393-399, 2016.

  45. Sheremet, M.A., Oztop, H.F., and Pop, I., MHD Natural Convection in an Inclined Wavy Cavity with Corner Heater Filled with a Nanofluid, J. Magn. Magn. Mater., vol. 416, pp. 37-47, 2016.

  46. Siddiqa, S., Begum, N., and Hossain, M.A., Radiation Effects from an Isothermal Vertical Wavy Cone with Variable Fluid Properties, Appl. Math. Comput, vol. 289, pp. 149-158, 2016.


Articles with similar content:

INFLUENCE OF VISCOUS DISSIPATION AND HEAT GENERATION/ABSORPTION ON AG-WATER NANOFLUID FLOW OVER A RIGA PLATE WITH SUCTION
International Journal of Fluid Mechanics Research, Vol.46, 2019, issue 2
Manoj Kumar, Ashish Mishra
VISCOUS DISSIPATION AND JOULE HEATING INFLUENCES PAST A STRETCHING SHEET IN A POROUS MEDIUM WITH THERMAL RADIATION SATURATED BY SILVER–WATER AND COPPER–WATER NANOFLUIDS
Special Topics & Reviews in Porous Media: An International Journal, Vol.10, 2019, issue 2
Manoj Kumar, Ashish Mishra
VELOCITY, THERMAL AND CONCENTRATION SLIP EFFECTS ON MHD SILVER–WATER NANOFLUID FLOW PAST A PERMEABLE CONE WITH SUCTION/INJECTION AND VISCOUS-OHMIC DISSIPATION
Heat Transfer Research, Vol.50, 2019, issue 14
Manoj Kumar, Ashish Mishra, Alok Kumar Pandey
OHMIC-VISCOUS DISSIPATION AND SLIP EFFECTS ON NANOFLUID FLOW OVER A STRETCHING CYLINDER WITH SUCTION/INJECTION
Nanoscience and Technology: An International Journal, Vol.9, 2018, issue 2
Manoj Kumar, Ashish Mishra, Alok Kumar Pandey
NUMERICAL INVESTIGATION OF NANOFLUID HEAT TRANSFER IN AN INCLINED STRETCHING CYLINDER UNDER THE INFLUENCE OF SUCTION/ INJECTION AND VISCOUS DISSIPATION
Nanoscience and Technology: An International Journal, Vol.10, 2019, issue 1
Manoj Kumar, Shikha Kandwal, Ashish Mishra