Magnetohydrodynamic Free Convection Flows with Thermal Memory over a Moving Vertical Plate in Porous Medium

سال انتشار: 1398
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 408

فایل این مقاله در 12 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

JR_JACM-5-1_013

تاریخ نمایه سازی: 19 تیر 1398

چکیده مقاله:

The unsteady hydro-magnetic free convection flow with heat transfer of a linearly viscous, incompressible, electrically conducting fluid near a moving vertical plate with the constant heat is investigated. The flow domain is the porous half-space and a magnetic field of a variable direction is applied. The Caputo time-fractional derivative is employed in order to introduce a thermal flux constitutive equation with a weakly memory. The exact solutions for the fractional governing differential equations for fluid temperature, Nusselt number, velocity field, and skin friction are obtained by using the Laplace transform method. The numerical calculations are carried out and the results are presented in graphical illustrations. The influence of the memory parameter (the fractional order of the time-derivative) on the temperature and velocity fields is analyzed and a comparison between the fluid with the thermal memory and the ordinary fluid is made. It was observed that due to evolution in the time of the Caputo power-law kernel, the memory effects are stronger for the small values of the time t.  Moreover, it is found that the fluid flow is accelerated / retarded by varying the inclination angle of the magnetic field direction.

نویسندگان

Nehad Ali Shah

Department of Mathematics, Lahore Leads University, Lahore Pakistan | Abdus Salam School of Mathematical Sciences, GC University Lahore, Pakistan

Najma Ahmed

Abdus Salam School of Mathematical Sciences, GC University Lahore, Pakistan

Thanaa Elnaqeeb

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, ۴۴۵۱۹, Egypt

Mohammad Mehdi Rashidi

Department of Civil Engineering, School of Engineering, University of Birmingham, Edgbaston, Birmingham, B۱۵ ۲TT, UK

مراجع و منابع این مقاله:

لیست زیر مراجع و منابع استفاده شده در این مقاله را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود مقاله لینک شده اند :
  • F.A.L. Dullien, Introduction, in Porous Media (Second Edition). 1992, Academic ...
  • M.A. Mujeebu, M.Z. Abdullah, M.Z.A. Bakar, A.A. Mohamad, M.K. Abdullah, ...
  • D.A. Nield, A. Bejan, Convection in Porous Media, 2013, Springer, ...
  • J. Sallès, J.F. Thovert, P.M. Adler, Reconstructed porous media and ...
  • S. Bories, Natural Convection in Porous Media, in Advances in ...
  • M.M. Rashidi, M. Ali, N. Freidoonimehr, B. Rostami, M. Anwar ...
  • M.M. Rashidi, E. Erfani, Analytical Method for Solving Steady MHD ...
  • C. Fetecau, N.A. Shah, D. Vieru, General solutions for hydromagnetic ...
  • A. Bejan, K.R. Khair, Heat and mass transfer by natural ...
  • M. Narayana, A.A. Khidir, P. Sibanda, and P.V.S.N. Murthy, Soret ...
  • C. Fetecau, R. Ellahi, M. Khan, N.A. Shah, Combined porous ...
  • K.R. Cramer, S. Bai, and S. Pai, Magnetofluid Dynamics for ...
  • A.K. Acharya, G.C. Dash, and S.R. Mishra, Free Convective Fluctuating ...
  • A. Khan, R. Solanki, Initial unsteady free convective flow past ...
  • N. Marneni, S. Tippa, and R. Pendyala, Ramp temperature and ...
  • Samiulhaq, S. Ahmad, D. Vieru, I. Khan, and S. Shafie, ...
  • P.K. Pattnaik, T. Biswal, Analytical Solution of MHD Free Convective ...
  • Heat and Mass Transfer Effects on Unsteady MHD Natural Convection Flow of a Chemically Reactive and Radiating Fluid through a Porous Medium Past a Moving Vertical Plate with Arbitrary Ramped Temperature [مقاله ژورنالی]
  • S.A. Gaffar, V. Ramachandra Prasad, E. Keshava Reddy, MHD free ...
  • A. Sattar, Unsteady hydromagnetic free convection flow with hall current ...
  • M.M. Rashidi, E. Momoniat, B. Rostami, Analytic approximate solutions for ...
  • A. Hussanan, Z. Ismail, I. Khan, A.G. Hussein, S. Shafie, ...
  • C. Fetecau, N.A. Shah, D. Vieru, General solutions for hydromagnetic ...
  • A.J. Omowaye, A.I. Fagbade, A.O. Ajayi, Dufour and soret effects ...
  • N.A. Shah, A.A. Zafar, S. Akhtar, General solution for MHD ...
  • Samiulhaq, I. Khan, F. Ali, S. Shafie, MHD Free Convection ...
  • F. Ali, I. Khan, S. Shafie, N. Musthapa, Heat and ...
  • B. Lavanya, A.L. Ratnam, Dufour and soret effects on steady ...
  • R. U. Haq, F. A. Soomro, T. Mekkaoui, Q. M. ...
  • O. D. Makinde, P. Y. Mhone, On temporal stability analysis ...
  • B. M. Shankar, I. S. Shivakumara, Magnetohydrodynamic stability of pressure-driven ...
  • B. M. Shankar, J. Kumar, I. S. Shivakumara, Magnetohydrodynamic stability ...
  • J.A.T. Machado, M.F. Silva, R.S. Barbosa, I.S. Jesus, C. Reis, ...
  • C. Li, Y. Chen, J. Kurths, Fractional calculus and its ...
  • N.A. Shah, I. Khan, Heat transfer analysis in a second ...
  • I. Khan, N.A. Shah, Y. Mahsud, D. Vieru, Heat transfer ...
  • I. Khan, N.A. Shah, L.C.C. Dennis, A scientific report on ...
  • N.A. Shah, D. Vieru, C. Fetecau, Effects of the fractional ...
  • M. Khan, S.H. Ali, and H. Qi, Exact solutions for ...
  • S. Aman, I. Khan, Z. Ismail, M. Z. Salleh, Applications ...
  • Q. Al-Mdallal, K. A. Abro, I. Khan, Analytical solutions of ...
  • S. Aman, I. Khan, Z. Ismail, M. Z. Salleh, I. ...
  • N.A Shah, Y. Mahsud, A. Ali Zafar, Unsteady free convection ...
  • D.K. Gartling, C.E. Hickox, A numerical study of the applicability ...
  • B. Stankovic, On the function of E. M. Wright, Publications ...
  • C. F. Lorenzo, T. T. Hartley, Generalized Functions for the ...
  • B. I. Henry, T. A. Langlands, P. Straka, An Introduction ...
  • J. Hristov, Derivatives with non-singular kernels. From the Caputo-Fabrizio definition ...
  • D. Baleanu, B. Agheli, M. M. Al Qurashi, Fractional advection ...
  • نمایش کامل مراجع