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Öğe Dual solution of thin film flow of fuzzified MHD pseudo-plastic fluid: numerical investigation in uncertain environment(Taylor & Francis Ltd, 2024) Qayyum, Mubashir; Tahir, Aneeza; Saeed, Syed Tauseef; Afzal, Sidra; Akgul, Ali; Hassani, Murad KhanThe pseudoplastic fluids have wide range of applications in industrial areas including cyclone separation, bearings, paper fibre separation, heat exchangers and also in food industry. In this regard, the current manuscript investigates the impact of transverse magnetic field on thin pseudo-plastic film flow on a vertical wall in a fuzzy (uncertain) environment. The uncertainty in a model is characterized through triangular fuzzy numbers (TFNs) along with $ \mathbbm {r} $ r-cut approach, which is computationally effective in capturing the uncertainties in physical phenomena. This results in the modelling of highly nonlinear fuzzified problem. For solution and analysis purposes, Runge-Kutta Fehlberg (RKF) is utilized. Also, RKF solutions are validated by comparing them to homotopy perturbation solutions in the current manuscript. The impact of $ \mathbbm {r} $ r-cut, and fluid parameters including non-Newtonian parameter beta, magnetic field M and Stoke's number $ \mathcal {S}_{t} $ St on the upper and lower velocity profiles are captured and analysed numerically and graphically. Analysis reveals that velocity profile decreases with an increase in applied magnetic field at upper and lower bounds. Also, increase in $ \mathcal {S}_{t} $ St and beta increases the velocity profile at lower bound, while inverse behaviour is recorded in the case of upper bound. The results also indicate that as $ \mathbbm {r} $ r goes from 0 to 1, the crisp solution always lies between upper and lower profiles, and becomes coherent at 1. Moreover, all fuzzy level set values of $ \mathbbm {r} \in [0,1] $ r is an element of[0,1] satisfy the fuzzy solution in the form of TFN.Öğe Generalized fractional model of heat transfer in uncertain hybrid nanofluid with entropy optimization in fuzzy-Caputo sense(Elsevier, 2024) Qayyum, Mubashir; Afzal, Sidra; Ahmad, Efaza; Akguel, Ali; El Din, Sayed M.In this paper, we present a new fuzzy-fractional (FF) transformation to recover FF differential model of hybrid nanofluid. The current study focuses on FF modeling of nanofluid with engine oil as base fluid, while ferrous oxide Fe2O3 and alumina Al2O3 are considered nanoparticles. In accordance to the real industrial phenomena, the flow is simulated between two squeezing plates with thermal radiation and magnetic effects. A generalized fuzzy-fraction flow problem is modeled by introducing new similarity transforms. Obtained model is validated both theoretically and numerically. At integer order Gamma = 1, the FF model reduces to the integer order fluid model existing in literature, proving theoretical validity. Fuzzy-valued functions are discriminated through triangular fuzzy numbers using r-cut approach. In order to solve, obtained highly non-linear FF nanofluid system, we apply He-Laplace-Carson (HLC) algorithm. Differential and convolution properties of Laplace-Carson Transform (LCT) are utilized for solution purpose. Error and convergence analysis is performed numerically to verify obtained results. Furthermore, graphical illustrations for upper and lower bound analysis on FF profiles is also presented. Analysis reveals that heat transfer in engine oil enhances with an increase in radiation at upper and lower bound in fuzzy-fractional environment. Moreover, entropy decreases with an increase in nanoparticle concentration of Fe2O3 and Al2O3 in engine oil.Öğe Heat transfer enhancement in engine oil based hybrid nanofluid through combustive engines: An entropy optimization approach(Elsevier, 2023) Afzal, Sidra; Qayyum, Mubashir; Akgul, Ali; Hassan, Ahmed M.Engine oil based hybrid nanofluid flow past a non-linearly stretching surface is important in solar energy applications, combustive engines, heat exchangers and many other industrial sector machinery. In this study, engine oil based hybrid nanofluid is modeled with multi-walled carbon nanotubes and copper oxide nanoparticles to enhance the heat transfer phenomena, minimize the entropy generation and to obtain a theoretical model more aligned with experimental findings. Engine oil hybrid nanofluid is modeled with non-linear thermal slip case so that a comparative study for no slip, linear slip and non-linear thermal slip is presented in a broader scenario. A variable magnetic field is applied in perpendicular direction with heat source/sink effects. Similarity analysis is conducted to obtain a non-dimensional system of ordinary differential equations. In order to solve the obtained system, a modified homotopy analysis approach is proposed with least square and Galerkin optimizers. Results are validated through mean squared residual errors and comparison with existing experimental data in literature. Analysis on results is presented through 2D plots, bar plots and pie charts. Highest percentage rate of increase in heat transfer of engine oil is obtained to be 23.75% with increase in heat source when volume fraction of both copper oxide and multi-walled carbon nanotubes is 4%. Moreover, entropy in engine oil flow is optimized till zero at 1% volume fraction of copper oxide and 3% volume fraction of multi-walled carbon nanotube in first order thermal slip case. These results are useful in enhancing various physical and engineering properties of engine oil 10W40C by adding multi-walled carbon nanotubes and copper oxide nanoparticles.Öğe Unsteady hybrid nanofluid (Cu-UO2/blood) with chemical reaction and non-linear thermal radiation through convective boundaries: An application to bio-medicine(Cell Press, 2023) Qayyum, Mubashir; Afzal, Sidra; Saeed, Syed Tauseef; Akgul, Ali; Riaz, Muhammad BilalThis study is focused on modeling and simulations of hybrid nanofluid flow. Uranium dioxide UO2 nanoparticles are hybrid with copper Cu, copper oxide CuO and aluminum oxide A12O3 while considering blood as a base fluid. The blood flow is initially modeled considering magnetic effect, non-linear thermal radiation and chemical reactions along with convective boundaries. Then for finding solution of the obtained highly nonlinear coupled system we propose a methodology in which q-homotopy analysis method is hybrid with Galerkin and least square Optimizers. Residual errors are also computed in this study to confirm the validity of results. Analysis reveals that rate of heat transfer in arteries increases up to 13.52 Percent with an increase in volume fraction of Cu while keeping volume fraction of UO2 fixed to 1% in a base fluid (blood). This observation is in excellent agreement with experimental result. Furthermore, comparative graphical study of Cu, CuO and A12O3 for increasing volume fraction is also performed keeping UO2 volume fraction fixed. Investigation indicates that Cu has the highest rate of heat transfer in blood when compared with CuO and A12O3. It is also observed that thermal radiation increases the heat transfer rate in the current study. Furthermore, chemical reaction decreases rate of mass transfer in hybrid blood nanoflow. This study will help medical practitioners to minimize the adverse effects of UO2 by introducing hybrid nano particles in blood based fluids.
