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Mixed Convection in Unsteady Stagnation Point Flow of Maxwell Fluid Subject to Modified Fourier’s Law

  • Research Article-Mechanical Engineering
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Abstract

The extrusion process of polymers in the industry is greatly depends on the heat transport mechanism in the viscoelastic fluid flow for the better quality of product. Therefore, nowadays, the researchers deeply investigate the properties of thermal transport in the flow with various physical effects. This research article is proposed to study the rheology of stagnation point flow of viscoelastic fluid over the vertical stretching cylinder with the impact of buoyancy force. The non-Fourier’s heat flux model is considered here for the transportation of thermal energy in fluid flow. Additionally, the analysis for two types of surface heating agents, namely constant wall temperature (CWT) and prescribed surface temperature (PST) is performed. The resulting partial differential equations for governing the flow and heat transport problem are transformed into ordinary differential system through suitable similarity variables. Numerical solutions are obtained by utilizing bvp4c built in MATLAB technique. The acquired results for temperature field are presented graphically with the comparison of CWT and PST. The outcomes of present study reveal that higher rate of heat transfer is observed in the case of CWT. Moreover, it is noted that higher values of buoyancy parameter enhance fluid flow velocity for assisting mode. The increasing values of thermal relaxation time parameter decrease the heat transport in the fluid. A comparison is given of surface velocity gradient for magnetic parameter and Deborah number with existing literature.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000, Pakistan

    Awais Ahmed, Masood Khan & Jawad Ahmed

  2. Department of Basic Sciences, University of Engineering and Technology, Taxila, 47050, Pakistan

    Jawad Ahmed

  3. Mathematics and its Applications in Life Sciences Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Sohail Nadeem

  4. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Sohail Nadeem

Authors
  1. Awais Ahmed
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  2. Masood Khan
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  3. Jawad Ahmed
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  4. Sohail Nadeem
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Correspondence to Sohail Nadeem.

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Ahmed, A., Khan, M., Ahmed, J. et al. Mixed Convection in Unsteady Stagnation Point Flow of Maxwell Fluid Subject to Modified Fourier’s Law. Arab J Sci Eng 45, 9439–9447 (2020). https://doi.org/10.1007/s13369-020-04724-y

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  • DOI: https://doi.org/10.1007/s13369-020-04724-y

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