The heat transfer phenomenon plays an imperative role in several biological and industrial processes, like the oil production industries, catalytic reactors, energy losses in several thermal systems, energy storage, papers manufacture and heat exchanger systems. Therefore, the present analysis investigates the heat transfer phenomena on peristaltic transportation of the hydromagnetic flow of non-Newtonian fourth-grade fluid in a tapered asymmetric channel filled with porous media. Moreover, the impacts of heat source/sink and thermal radiation in modeling are retained. The tapered asymmetry in the channel is generated by undertaking the peristaltic wave train inflicted on the non-uniform walls to have altered phases and amplitudes. The analysis is originated by adopting suppositions of long wavelength \(\left( {\delta < < 1} \right)\), small Deborah number \(\left( {\Gamma \to 0} \right)\) and low Reynolds number \(\left( {\text{R} \to 0} \right)\). A regular perturbation technique is utilized to acquire the series outcomes for the axial velocity, pressure gradient and streamlines distribution, while an analytical outcome has been acquired for the thermal profile. The pressure rise at each wavelength on the channel walls has been numerically computed. Impacts of arising parameters in the analysis are surveyed graphically. Outcomes divulge that magnitude of the axial velocity raises with a rise of Darcy number. In contrast, it diminishes with a raise of the magnetic parameter near the center of the channel. Furthermore, the calculated outcomes are found in admirable agreement with the outcomes acquired by the finite element technique and previously published results.

传热现象在几个生物和工业过程中起着至关重要的作用，例如石油生产工业、催化反应器、几个热系统中的能量损失、能量存储、造纸和热交换器系统。因此，本分析研究了非牛顿四级流体在充满多孔介质的锥形不对称通道中蠕动传输的热传递现象。此外，还保留了热源/汇和热辐射对建模的影响。通道中的锥形不对称是通过使施加在非均匀壁上的蠕动波列具有改变的相位和幅度而产生的。该分析源于采用长波长的假设\(\left( {\delta < < 1} \right)\)，小黛博拉数\(\left( {\Gamma \to 0} \right)\)和低雷诺数\(\left( {\text {R} \to 0} \right)\). 利用常规扰动技术获得轴向速度、压力梯度和流线分布的系列结果，同时获得热剖面的分析结果。通道壁上每个波长处的压力升高已通过数值计算。分析中出现的参数的影响以图形方式进行调查。结果表明，轴向速度的大小随着达西数的增加而增加。相反，它随着通道中心附近磁参数的升高而减小。此外，计算结果与有限元技术获得的结果和先前公布的结果非常一致。