The Thermal Absorption/Generation on Ferro-fluid Combined Convective Flow Over Curvilinear Porous Surfaces
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Abstract
In the influence of fluid buoyancy forces, the ferrofluid combined convective flow in porous curvilinear surfaces is studied with thermal generation/absorption effect. In the ambient flow conditions, the pressure gradient terms and ferrofluid buoyancy forces are replaced by the free steam velocity . The governing equations of the present problem are converted to ODEs by introducing non-dimensional functions and similarity variable. Boundary conditions of first derivative of velocities and temperature of our problem were constructed by the initial value problem, also the unknown initial conditions are found by shooting methods, and then a set of ODEs is solved numerically by the integration scheme of the six-order Range-Kutta method. The results of the solutions are presented graphically of velocity and thermal profiles with the help of MATLAB for different values of suction parameter and heat absorption parameter . Finally, the comparisons of the results highlight the justification of the numerical calculation accepted in the presence study. The problems in curvilinear surface study of boundary layer flow are complicated in fluid mechanics with applications of natural science and engineering.
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References
[2] Maleque Kh. A., “Similarity solutions of combined forced and free convective laminar boundary layer flows in curvilinear coordinates”, M. Phil thesis, Dept. of Math, BUET, 1995.
[3] Zakerullah Md., and Maleque, Kh. A., “Similarity requirements for combined forced and free convective laminar boundary layer flow over vertical curvilinear surfaces”, J. Bangladesh academy of sciences, Vol-22(1), pp 79-90, 1998.
[4] Cebeci, T., Kaups, K., and Moser, A., “Calculation of three-dimensional boundary AIAA journal 14(8), 1090-1094, 1976.
[5] Blumberg, A. F., and Herring, H. J., “Circulation modelling using orthogonal curvilinear coordinates’, In Elsevier oceanography series, vol-45, pp. 55-88, 1987.
[6] Hung, T. K., and Brown, T. D., “An implicit finite-difference method for solving the navier-stokes equation using orthogonal curvilinear coordinates”, Journal of Computational Physics, Vol 23(4), 343-363, 1977.
[7] Redzic, Dragan V., “ The operation ∇ in orthogonal curvilinear coordinates”, European Journal of Physics, vol 22(6), 595, 2001.
[8] Mario Krzyk, and Matjaz Cetina, “Analysis of flow in a curved channel using the curvilinear orthogonal numerical mesh”, Journal of Mechanical Engineering,
[9] Shafiq, A., Nadeem, S., and Nurmuhammad, “Boundary layer flow over a curve surface imbedded in porous medium”, Communications in theoretical physics, Vol-71, pp-344, 2019.
[10] Kianoosh, Youseki and Fabrice Veron, “Boundary layer formulations in orthogonal curvilinear coordinates for flow over wind generated surface waves”, Journal of Fluid Mechanics, Vol-888, A11, 2020.
[11] Maleque, Kh. A., and Sattar, M. A., “Transient convective flow due to a rotating disc with magnetic field and heat absorption effects.” Journal of energy, heat and mass transfer. Vol-25, pp-279-291, 2003
[12] Maleque, Kh. A., “Effects of Binary Chemical Reaction and Activation Energy on MHD Boundary Layer Heat and Mass Transfer Flow with Viscous Dissipation and Heat Generation/Absorption.” International Scholarly Research Notices, Hindawi Publishing Corporation ISRN Thermodynamics Volume 2013, Article ID 284637, 9 pages http://dx.doi.org/10.1155/2013/284637.
[13] Maleque Kh. A. “A Binary Chemical Reaction on Unsteady Free Convective Boundary Layer Heat and Mass Transfer Flow with Arrhenius Activation Energy and Heat Generation/Absorption, The Latin American Applied Research Journal (LAAR), Argentina, Vol -44, No. 1, pp- 97-104, 2014. ISSN: 0327-0793.
[14] Maleque Kh. A., Siddikua, A., “Effect of Variable Electro-conductivity on MHD Convective Heat Transfer Flow Past A continuous Moving Semi-Infinite Vertical Porous Plate with Heat Absorption”, The AIUB Journal of Science and Engineering (AJSE), Vol-13, No. 1, pp 77-83, August 2014, ISSN 1608-3679.
[15] Maleque, Kh. A., “Similarity requirements for mixed convective boundary layer flow over vertical curvilinear porous surfaces with heat generation/absorption”,
International Journal of Aerospace Engineering, March 03, 2020.
[16] Nachtsheim, P. R., and Swigert, P.,“Satisfaction of asymptotic boundary conditions in numerical solution of system of nonlinear of boundary layer type”, NASA TN-D3004, 1965.
[17] Sparrow, E. M., Eichorn, R., and Gregg, L. J., “ Combined forced and free convection in a boundary layer flow”, Phys. Fluids, Vol-2, pp-319, 1959.