0
Research Papers: Micro/Nanoscale Heat Transfer

Significance of Lorentz Force and Thermoelectric on the Flow of 29 nm CuO–Water Nanofluid on an Upper Horizontal Surface of a Paraboloid of Revolution

[+] Author and Article Information
I. L. Animasaun

Department of Mathematical Sciences,
Federal University of Technology,
Akure PMB 704, Nigeria
e-mails: ilanimasaun@futa.edu.ng;
anizakph2007@gmail.com

B. Mahanthesh

Department of Mathematics,
Christ University,
Bangalore 560058, India
e-mail: mahanthesh.b@christuniversity.in

A. O. Jagun

Department of Mathematical Sciences,
Federal University of Technology,
Akure PMB 704, Nigeria
e-mail: aminatjagun@gmail.com

T. D. Bankole

Department of Mathematical Sciences,
Federal University of Technology,
Akure PMB 704, Nigeria
e-mail: tdbankole@yahoo.com

R. Sivaraj

Department of Mathematics,
Vellore Institute of Technology University,
Vellore 632014, Tamil Nadu, India
e-mail: sivaraj.r@vit.ac.in

Nehad Ali Shah

Abdus Salam School of Mathematical Sciences,
GC University,
Lahore 54600, Pakistan
e-mail: nehadali199@yahoo.com

S. Saleem

Department of Mathematics,
College of Sciences,
King Khalid University,
Abha 61413, Saudi Arabia
e-mail: salmansaleem_33@hotmail.com

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received June 22, 2018; final manuscript received November 7, 2018; published online December 13, 2018. Assoc. Editor: Evelyn Wang.

J. Heat Transfer 141(2), 022402 (Dec 13, 2018) (9 pages) Paper No: HT-18-1411; doi: 10.1115/1.4041971 History: Received June 22, 2018; Revised November 07, 2018

Combination of electric and magnetic forces on charged molecules of flowing fluid in the presence of a significant electromagnetic fields on surfaces with a nonuniform thickness (as in the case of upper pointed surface of an aircraft and bonnet of a car which are examples of upper horizontal surfaces of a paraboloid of revolution—uhspr) is inevitable. In this study, the influence of imposed magnetic field and Hall effects on the flow of 29 nm CuO–water nanofluid over such object is presented. Suitable similarity variables were employed to nondimensionalize and parameterize the dimensional governing equation. The numerical solutions of the corresponding boundary value problem were obtained using Runge–Kutta fourth-order integration scheme along with shooting technique. The domain of cross-flow velocity can be highly suppressed when the magnitude of imposed magnetic strength and that of Hall parameter are large. A significant increase in the cross-flow velocity gradient near an upper horizontal surface of the paraboloid of revolution is guaranteed with an increase in the Hall parameter. Enhancement of temperature distribution across the flow is apparent due to an increase in the volume fraction.

Copyright © 2019 by ASME
Your Session has timed out. Please sign back in to continue.

References

Nahin, P. J. , 2002, Oliver Heaviside: The Life, Work, and Times of an Electrical Genius of the Victorian Age, Johns Hopkins University Press, Baltimore, MD.
Wilson, E. , 1901, “ The Growth of Magnetism in Iron Under Alternating Magnetic Force,” Proc. R. Soc. London, 68(442–450), pp. 218–227. [CrossRef]
Hall, E. , 1879, “ On a New Action of the Magnet on Electric Currents,” Am. J. Math., 2(3), pp. 287–292. [CrossRef]
Movaghar, B. , and Cochrane, R. W. , 1991, “ The Connection Between Hall Effect and Magnetism,” Z. Für Phys. B Condens. Matter, 85(2), pp. 217–225. [CrossRef]
Attia, H. A. , and Aboul-Hassan, A. L. , 2001, “ Effect of Hall Current on the Unsteady MHD Flow Due to a Rotating Disk With Uniform Suction or Injection,” Appl. Math. Modell., 25, pp. 1089–1098. [CrossRef]
Nowar, K. , 2014, “ Peristaltic Flow of a Nanofluid Under the Effect of Hall Current and Porous Medium,” Math. Probl. Eng., 2014, p. 389581.
Gireesha, B. J. , Mahanthesh, B. , and Krupalakshmi, K. L. , 2017, “ Hall Effect on Two-Phase Radiated Flow of Magneto-Dusty-Nanoliquid With Irregular Heat Generation/Consumption,” Results Phys., 7, pp. 4340–4348. [CrossRef]
Gireesha, B. J. , Mahanthesh, B. , Thammanna, G. T. , and Sampathkumar, P. B. , 2018, “ Hall Effects on Dusty Nanofluid Two-Phase Transient Flow Past a Stretching Sheet Using KVL Model,” J. Mol. Liq., 256, pp. 139–147. [CrossRef]
Mahanthesh, B. , 2017, “ Hall Effect on Two-Phase Laminar Boundary Layer Flow of Dusty Liquid Due to Stretching of an Elastic Flat Sheet,” Mapana J. Sci., 16(3), pp. 13–26.
Sugunamma, V. , Ramadevi, B. , Ramana, J. V. , and Sandeep, N. , 2016, “ Hall Current Effects on Free Convection Casson Fluid Flow in a Rotating System With Convective Boundary Conditions and Constant Heat Source,” Chem. Process Eng. Res., 41, pp. 1–14.
Blasius, H. , 1908, “ Grenzschichten in Flussigkeiten Mit Kleiner Reibung,” Z. Math. Phys., 56, pp. 1–37.
Martin, M. J. , and Boyd, I. D. , 2001, “ Blasius Boundary Layer Solution With Slip Flow Conditions,” AIP Conf. Proc., 585(1), pp. 518–523.
Bertolotti, F. P. , Herbert, T. , and Spalart, P. R. , 1992, “ Linear and Nonlinear Stability of the Blasius Boundary Layer,” J. Fluid Mech., 242(1), pp. 441–474. [CrossRef]
Rees, D. A. S. , and Basson, A. P. , 1996, “ The Blasius Boundary-Layer Flow of a Micropolar Fluid,” Int. J. Eng. Sci., 34(1), pp. 113–124. [CrossRef]
Sakiadis, B. C. , 1961, “ Boundary Layer Behavior on Continuous Solid Surfaces: The Boundary Layer on a Continuous Flat Surface,” Am. Inst. Chem. Eng., 7(2), pp. 221–225. [CrossRef]
Bilal, S. , Malik, M. Y. , Awais, M. , Khalil-ur-Rehman , Hussain, A. , and Khan, I. , 2016, “ Numerical Investigation on 2D Viscoelastic Fluid Due to Exponentially Stretching Surface With Magnetic Effects: An Application of Non-Fourier Flux Theory,” Neural Comput. Appl., 30(9), pp. 2749–2758. [CrossRef]
Alao, F. I. , Omowaye, A. J. , Fagbade, A. I. , and Ajayi, B. O. , 2016, “ Optimal Homotopy Analysis of Blasius and Sakiadis Newtonian Flows Over a Vertical Convective Porous Surface,” Int. J. Eng. Res. Afr., 28, pp. 102–117. [CrossRef]
Sandeep, N. , Animasaun, I. L. , and Ali, M. E. , 2017, “ Unsteady Liquid Film Flow of Electrically Conducting Magnetic-Nanofluids in the Vicinity of a Thin Elastic Sheet,” J. Comput. Theor. Nanosci., 14(2), pp. 1140–1147. [CrossRef]
Animasaun, I. L. , 2015, “ Casson Fluid Flow With Variable Viscosity and Thermal Conductivity Along Exponentially Stretching Sheet Embedded in a Thermally Stratified Medium With Exponentially Heat Generation,” J. Heat Mass Transfer Res., 2(2), pp. 63–78.
Lee, L. L. , 1967, “ Boundary Layer Over a Thin Needle,” Phys. Fluids, 10(4), pp. 820–822. [CrossRef]
Soid, S. K. , Ishak, A. , and Pop, I. , 2017, “ Boundary Layer Flow Past a Continuously Moving Thin Needle in a Nanofluid,” Appl. Thermal Eng., 114, pp. 58–64. [CrossRef]
Agarwal, M. , Chhabra, R. P. , and Eswaran, V. , 2002, “ Laminar Momentum and Thermal Boundary Layers of Power-Law Fluids Over a Slender Cylinder,” Chem. Eng. Sci., 57(8), pp. 1331–1341. [CrossRef]
Koriko, O. K. , and Animasaun, I. L. , 2017, “ New Similarity Solution of Micropolar Fluid Flow Problem Over an uhspr in the Presence of Quartic Kind of Autocatalytic Chemical Reaction,” Front. Heat Mass Transfer, 8, p. 26.
Ajayi, T. M. , Omowaye, A. J. , and Animasaun, I. L. , 2017, “ Viscous Dissipation Effects on the Motion of Casson Fluid Over an Upper Horizontal Thermally Stratified Melting Surface of a Paraboloid of Revolution: Boundary Layer Analysis,” J. Appl. Math., 2017, p. 1697135. [CrossRef]
Makinde, O. D. , and Animasaun, I. L. , 2016, “ Bioconvection in MHD Nanofluid Flow With Nonlinear Thermal Radiation and Quartic Autocatalysis Chemical Reaction Past an Upper Surface of a Paraboloid of Revolution,” Int. J. Therm. Sci., 109, pp. 159–171. [CrossRef]
Makinde, O. D. , and Animasaun, I. L. , 2016, “ Thermophoresis and Brownian Motion Effects on MHD Bioconvection of Nanofluid With Nonlinear Thermal Radiation and Quartic Chemical Reaction Past an Upper Horizontal Surface of a Paraboloid of Revolution,” J. Mol. Liq., 221, pp. 733–743. [CrossRef]
Davis, R. T. , and Werle, M. J. , 1972, “ Numerical Solutions for Laminar Incompressible Flow Past a Paraboloid of Revolution,” Am. Inst. Aeronaut. Astronaut. J., 10(9), pp. 1224–1230. [CrossRef]
Sowerby, L. , and Cooke, J. , 1953, “ The Flow of Fluid Along Corners and Edges,” Q. J. Mech. Appl. Math., 6(1), pp. 50–70. [CrossRef]
Gupta, P. S. , and Gupta, A. S. , 1977, “ Heat and Mass Transfer on a Stretching Sheet With Suction or Blowing,” Can. J. Chem. Eng., 55(6), pp. 744–746. [CrossRef]
Yacob, N. A. , Ishak, A. , Pop, I. , and Vajravelu, K. , 2011, “ Boundary Layer Flow Past a Stretching/Shrinking Surface Beneath an External Uniform Shear Flow With a Convective Surface Boundary Condition in a Nanofluid,” Nanoscale Res. Lett., 6(1), p. 314. [CrossRef] [PubMed]
Gireesha, B. J. , Mahanthesh, B. , Gorla, R. S. R. , and Manjunatha, P. T. , 2016, “ Thermal Radiation and Hall Effects on Boundary Layer Flow Past a Non-Isothermal Stretching Surface Embedded in Porous Medium With Non-Uniform Heat Source/Sink and Fluid-Particle Suspension,” Heat Mass Transfer, 52(4), pp. 897–911. [CrossRef]
Srinivasacharya, D. , Mallikarjuna, B. , and Bhuvanavijaya, R. , 2016, “ Effects of Thermophoresis and Variable Properties on Mixed Convection Along a Vertical Wavy Surface in a Fluid Saturated Porous Medium,” Alexandria Eng. J., 55(2), pp. 1243–1253. [CrossRef]
Yao, L. S. , 1983, “ Natural Convection Along a Vertical Wavy Surface,” ASME J. Heat Transfer, 105(3), pp. 465–468. [CrossRef]
Rees, D. A. S. , and Pop, I. , 1994, “ Note on Free Convection Along a Vertical Wavy Surface in a Porous Medium,” ASME J. Heat Transfer, 116(2), pp. 505–508. [CrossRef]
Cheng, C. Y. , 2000, “ Natural Convection Heat and Mass Transfer Near a Vertical Wavy Surface With Constant Wall Temperature and Concentration in a Porous Medium,” Int. Commun. Heat Mass Transfer, 27(8), pp. 1143–1154. [CrossRef]
Lee, T. , and Gerontakos, P. , 2004, “ Investigation of Flow Over an Oscillating Airfoil,” J. Fluid Mech., 512, pp. 313–341. [CrossRef]
Bai, W. , and Taylor, R. E. , 2006, “ Higher-Order Boundary Element Simulation of Fully Nonlinear Wave Radiation by Oscillating Vertical Cylinders,” Appl. Ocean Res., 28(4), pp. 247–265. [CrossRef]
Kishore, P. M. , Rajesh, V. , and Verma, V. S. , 2012, “ The Effects of Thermal Radiation and Viscous Dissipation on MHD Heat and Mass Diffusion Flow Past an Oscillating Vertical Plate Embedded in a Porous Medium With Variable Surface Conditions,” Theor. Appl. Mech., 39(2), pp. 99–125. [CrossRef]
Kataria, H. R. , and Patel, H. R. , 2016, “ Radiation and Chemical Reaction Effects on MHD Casson Fluid Flow Past an Oscillating Vertical Plate Embedded in Porous Medium,” Alexandria Eng. J., 55(1), pp. 583–595. [CrossRef]
Soundalgekar, V. M. , 1979, “ Free Convection Effects on the Flow Past an Infinite Vertical Oscillating Plate,” Astrophys. Space Sci., 64(1), pp. 165–171. [CrossRef]
Chen, F. J. , Malik, M. R. , and Beckwith, I. E. , 1989, “ Boundary-Layer Transition on a Cone and Flat Plate at Mach 3.5,” Am. Inst. Aeronaut. Astronaut. J., 27(6), pp. 687–693. [CrossRef]
Rashad, A. M. , El-Hakiem, M. A. , and Abdou, M. M. M. , 2011, “ 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., 62(8), pp. 3140–3151. [CrossRef]
Garrett, S. J. , Hussain, Z. , and Stephen, S. O. , 2009, “ The Cross-Flow Instability of the Boundary Layer on a Rotating Cone,” J. Fluid Mech., 622, pp. 209–232. [CrossRef]
Benazir, A. J. , Sivaraj, R. , and Makinde, O. D. , 2015, “ Unsteady Magnetohydrodynamic Casson Fluid Flow Over a Vertical Cone and Flat Plate With Non-Uniform Heat Source/Sink,” Int. J. Eng. Res. Afr., 21, pp. 69–83. [CrossRef]
Parmar, A. , 2017, “ MHD Falkner-Skan Flow of Casson Fluid Flow and Heat Transfer With Variable Property Past a Moving Wedge,” Int. J. Appl. Comput. Math., 3(S1), pp. 611–629. [CrossRef]
Benazir, A. J. , Sivaraj, R. , and Rashidi, M. M. , 2016, “ Comparison Between Casson Fluid Flow in the Presence of Heat and Mass Transfer From a Vertical Cone and Flat Plate,” ASME J. Heat Transfer, 138(11), p. 112005. [CrossRef]
Basha, H. T. , Sivaraj, R. , Animasaun, I. L. , and Makinde, O. D. , 2018, “ Influence of Non-Uniform Heat Source/Sink on Unsteady Chemically Reacting Nanofluid Flow Over a Cone and Plate,” Defect Diffus. Forum, 389, pp. 50–59. [CrossRef]
Nadeem, S. , and Saleem, S. , 2013, “ Analytical Treatment of Unsteady Mixed Convection MHD Flow on a Rotating Cone in a Rotating Frame,” J. Taiwan Inst. Chem. Eng., 44(4), pp. 596–604. [CrossRef]
Nadeem, S. , and Saleem, S. , 2014, “ Theoretical Investigation of MHD Nanofluid Flow Over a Rotating Cone: An Optimal Solutions,” Inf. Sci. Lett., 3(2), pp. 55–62. [CrossRef]
Nadeem, S. , and Saleem, S. , 2015, “ Analytical Study of Third Grade Fluid Over a Rotating Vertical Cone in the Presence of Nanoparticles,” Int. J. Heat Mass Transfer, 85, pp. 1041–1048. [CrossRef]
Tamoor, M. , Waqas, M. , Khan, M. I. , Alsaedi, A. , and Hayat, T. , 2017, “ Magnetohydrodynamic Flow of Casson Fluid Over a Stretching Cylinder,” Results Phys., 7, pp. 498–502. [CrossRef]
Animasaun, I. L. , 2016, “ 47 nm Alumina Water Nanofluid Flow Within Boundary Layer Formed on Upper Horizontal Surface of Paraboloid of Revolution in the Presence of Quartic Autocatalysis Chemical Reaction,” Alexandria Eng. J., 55(3), pp. 2375–2389. [CrossRef]
Buongiorno, J. , 2006, “ Convective Transport in Nanofluids,” ASME J. Heat Transfer, 128(3), pp. 240–250. [CrossRef]
Koriko, O. K. , Omowaye, A. J. , Sandeep, N. , and Animasaun, I. L. , 2017, “ Analysis of Boundary Layer Formed on an Upper Horizontal Surface of the Paraboloid of Revolution Within Nanofluid Flow in the Presence of Thermophoresis and Brownian Motion of 29 nm CuO,” Int. J. Mech. Sci., 124–125, pp. 22–36. [CrossRef]
Mintsa, H. A. , Roy, G. , Nguyen, C. T. , and Doucet, D. , 2009, “ New Temperature Dependent Thermal Conductivity Data for Water-Based Nanofluids,” Int. J. Therm. Sci., 48(2), pp. 363–371. [CrossRef]
Oztop, H. , and Abu-Nada, E. , 2008, “ Numerical Study of Natural Convection in Partially Heated Rectangular Enclosures Filled With Nanofluids,” Int. J. Heat Fluid Flow, 29(5), pp. 1326–1336. [CrossRef]
Shah, N. A. , Animasaun, I. L. , Ibraheem, R. O. , Babatunde, H. A. , Sandeep, N. , and Pop, I. , 2018, “ Scrutinization of the Effects of Grashof Number on the Flow of Different Fluids Driven by Convection Over Various Surfaces,” J. Mol. Liq., 249, pp. 980–990. [CrossRef]
Sivaraj, R. , Animasaun, I. L. , Olabiyi, A. S. , Saleem, S. , and Sandeep, N. , 2018, “ Gyrotactic Microorganisms and Thermoelectric Effects on the Dynamics of 29 nm CuO-Water Nanofluid Over an Upper Horizontal Surface of Paraboloid of Revolution,” Multidiscip. Model. Mater. Struct., 14(4), pp. 695–721. [CrossRef]
Nagaosa, N. , Sinova, J. , Onoda, S. , MacDonald, A. H. , and Ong, N. P. , 2010, “ Anomalous Hall Effect,” Rev. Modern Phys., 82(2), p. 1539. [CrossRef]
Babu, M. J. , and Sandeep, N. , 2016, “ 3D MHD Slipflow of a Nanofluid Over a Slendering Stretching Sheet With Thermophoresis and Brownian Motion Effects,” J. Mol. Liq., 222, pp. 1003–1009. [CrossRef]
Sandeep, N. , and Malvandi, A. , 2016, “ Enhanced Heat Transfer in Liquid Thin Film Flow of Non-Newtonian Nanofluids Embedded With Graphene Nanoparticles,” Adv. Powder Technol., 27(6), pp. 2448–2456. [CrossRef]
Motsa, S. S. , and Animasaun, I. L. , 2016, “ Paired Quasi-Linearization Analysis of Heat Transfer in Unsteady Mixed Convection Nanofluid Containing Both Nanoparticles and Gyrotactic Microorganisms Due to Impulsive Motion,” ASME J. Heat Transfer, 138(11), p. 114503. [CrossRef]
Animasaun, I. L. , Koriko, O. K. , Adegbie, K. S. , Babatunde, H. A. , Ibraheem, R. O. , Sandeep, N. , and Mahanthesh, B. , 2018, “ Comparative Analysis Between 36 nm and 47 nm Alumina–Water Nanofluid Flows in the Presence of Hall Effect,” J. Therm. Anal. Calorim. (in press).

Figures

Grahic Jump Location
Fig. 1

The physical configuration

Grahic Jump Location
Fig. 2

Conversion of the flow domain

Grahic Jump Location
Fig. 3

Thermoelectric effect on the cross-flow velocity when Lorentz force is small in magnitude

Grahic Jump Location
Fig. 4

Thermoelectric effect on the cross-flow velocity Lorentz force is large in magnitude

Grahic Jump Location
Fig. 5

Thermoelectric effect on the cross-flow velocity gradient when Lorentz force is small in magnitude

Grahic Jump Location
Fig. 6

Thermoelectric effect on the cross-flow velocity gradient when Lorentz force is large in magnitude

Grahic Jump Location
Fig. 7

Thermoelectric effect on the vertical velocity when Lorentz force is small and large in magnitude

Grahic Jump Location
Fig. 8

Thermoelectric effect on the horizontal velocity when Lorentz force is small and large in magnitude

Grahic Jump Location
Fig. 9

Effect of thickness parameter on the vertical velocity when Lorentz force is small and large in magnitude

Grahic Jump Location
Fig. 10

Effect of thickness parameter on the horizontal velocity when Lorentz force is small and large in magnitude

Grahic Jump Location
Fig. 11

Effect of thickness parameter on the cross-flow velocity when Lorentz force is small and large in magnitude

Grahic Jump Location
Fig. 12

Variations in the local skin friction coefficient and local Nusselt number with the thickness parameter χ and strength of magnetic field M

Grahic Jump Location
Fig. 13

Effect of volume fraction on the cross-flow velocity when Lorentz force is small in magnitude

Grahic Jump Location
Fig. 14

Effect of volume fraction on the cross-flow velocity when Lorentz force is large in magnitude

Grahic Jump Location
Fig. 15

Effect of volume fraction on the temperature distribution when Lorentz force is small in magnitude

Grahic Jump Location
Fig. 16

Effect of volume fraction on the temperature distribution when Lorentz force is large in magnitude

Tables

Errata

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In