This work presented a study on buoyancy force rate in couette conducting fluid flow. Quality of energy in the fluid flow problem was studied by the introduction of entropy. The mathematical model was transformed to non-dimensional form and solved using an analytical method of the regular perturbation technique in the absence of time. Various pertinent parameters with their effects on the velocity, temperature, entropy, volume flow rate was discussed and presented graphically. It is intriguing to observe that the findings of this study align with those of the anchor paper when the buoyancy force parameter is deactivated in the present work.

Adamu, A. A., Umar, I. T., Garba, I., Ibrahim, Y. (2024). Development and Energy Potential of Co-firing Fuel from Blends of Several Biomasses and Low Rank Coal at Optimal Condition. Journal of Basics and Applied Sciences Research, 2(3): 8-19. Gaur, P. K., Sharma, R. P., and Jha, A. K. (2018). Transient free Convective Radiative Flow between Vertical parallel plates Heated/Cooled Asymmetrically with Heat Generation and Slip Condition. Journal of Applied Fluid Mechanics, 23(2): 365 – 384. Hamza M. M., Isa M. M., Ibrahim Y., Usman H. (2024). Analysis of Magnetized Chemical Reaction under Arrhenius Control in the Presence of Navier Slip and Convective Boundary Conditions, Journal of Basics and Applied Sciences Research, 2(2): 71-82. Ibrahim Y., Adamu I., Ibrahim U. T., Sa’adu A.Influence of Thermal Diffusion (Soret Term) on Heat and Mass Transfer Flow over a Vertical Channel with Magnetic Field Intensity. Journal of Basics and Applied Sciences Research, 2(2): 60-69. Isah, B. Y., and Jha, B. K. (2015). Steady-State Natural Convection Flow in an Annulus with thermal Radiation, Katsina Journal of Applied Mathematics, 4(1): 8 – 21. Isah, B. Y., Jha, B. K., and Lin, J. E. (2016). Combined Effects of Thermal Diffusion and Diffusion-Thermo Effects on Transient MHD Natural Convection and Mass Transfer Flow in a Vertical Channel with Thermal Radiation. Applied Mathematics, 7: 2354 – 2373. Isah, B. Y., Jha, B. K., and Lin, J. E. (2018). On a Couette Flow of Conducting Fluid. International Journal of Theoretical and Applied Mathematics, 4(1): 8 – 21. Isah, B. Y., Jha, B. K., and Uwanta, I. J. (2018). Combined effect of suction/injection on MHD free-convection flow in a Vertical channel with thermal Radiation. Aim Shams Engineering Journal, 9: 1069 – 1088. Jha, B. K., and Oni, M. O. (2018). Transient Natural Convection Flow between Vertical Concentric Cylinders Heated/Cooled Asymmetrically. J of Power and Energy 12: 1 – 14. Jha, B. K., Isah, B. Y., and Uwanta, I. J. (2015). Unsteady MHD free Convective Couette flow between vertical porous plates with Thermal Radiation. Journal of King Saud University-Science, 27: 338 – 348. Kumar, A., and Singh, A. K. (2013). Effect of Induced Magnetic Field on Natural Convection in vertical Concentric Annuli Heated/Cooled Asymmetrically. Journal of Applied Fluid Mechanics, 6: 568 – 574. Kumar, D., and Singh, A. K. (2015). Effect of Induced Magnetic Field on Natural Convection with Newtonian Heating/Cooling in vertical Concentric Annuli. Procedia Engineering, 127: 568 – 574. Lie, Z., Sheikholeslami, M., Chamkha, A. J. Raizah, Z. A. F., and Saleem, S. (2018). Control Volume Finite Element Method for nanofluid MHD natural convective flow inside a sinusoidal annulus under the impact of Thermal Radiation. Computer Methods Applied Mechanical Engineering, 18: 25 – 35. Nahari, M. (2010). Effects of Thermal Radiation and Free Convection Currents on the Unsteady Couette Flow between two Vertical Parallel Plates with Constant Heat Flux at one Boundary. WSEAS Transactions on Heat and Mass Transfer, 5(1): 1 – 11. Panjak, S., Timol, M. G., and Salunke, J. N. (2016). Similarity Solution of Laminar Natural Convection Flow of Non-Newtonian Visco-inelastic Fluids. International Journal of Innovative Science, Engineering and Technology, 3(7): 2348 – 7968. Sarkar, B. C. and Das, S. (2012). Transient MHD Natural Convection between two Vertical Walls Heated/Cooled Asymmetrically. International Journal of Computer Applications. 52(3): 27 – 34. Singh, A., and Paul, T. (2006). Transient Natural Convection between two Vertical walls Heated/Cooled Asymmetrically. International Journal of Applied Mechanics and Engineering. 11(1): 143 - 154. Sulochana, C., Aparna, S. R., and Sandeep, N. (2020). Impact of linear/nonlinear Radiation on incessantly moving thin needle in MHD Quiescent Al-Cu/methanol hybrid nanofluid. International Journal of Ambient Energy, 10: 1 – 21.